Mar 28, 2019 · An example of substitution in another context can be seen when solving a quadratic equation like x2 + 5x + 6 = 0 by substituting x = 2 to check if it satisfies the equation.

Jul 22, 2016 · Through substitution, we transform the complex expression into a standard quadratic equation by letting u = 3x + 2, resulting in u2 + 7u - 8 = 0. We can then use the …

Aug 6, 2025 · We substitute u = 3x + 2 into the original equation to rewrite it. This gives us the equivalent quadratic equation u2 + 7u − 8 = 0. The rewritten equation is simpler and allows for …

Jun 7, 2025 · The given substitution is incorrect. Final Answer Therefore, the equivalent quadratic equation using the correct substitution u = 3x + 2 is: u2 + 7u − 8 = 0 Examples Substitution is a …

To solve the quadratic equation by substitution, we begin by introducing a new variable. Let's define a substitution: z = 3x + 2 Now, we can express the original equation in terms of z. The …

Nov 2, 2023 · Now we have an equivalent quadratic equation in terms of the variable u. The equation u² + 7u - 8 = 0 is equivalent to the original equation (3x + 2)² + 7 (3x + 2) - 8 = 0 after …

Dec 13, 2024 · To solve the equation (3x + 2)2 + 7(3x + 2) − 8 = 0 using substitution, follow these steps: Substitute: Let's introduce a new variable to make the equation simpler.

Use substitution to write an equivalent quadratic equation. (3x + 2) 2 + 7 (3x + 2) - 8 = 0 Summary: Using substitution, the equivalent quadratic equation of (3x + 2) 2 + 7 (3x + 2) - 8 = 0 is u 2 + 7u …

Oct 24, 2024 · To solve the equation 3x + 2 +7 3x + 2 − 8 = 0 using substitution, we need to choose a substitution that makes the equation simpler to work with. Here is a step-by-step …

Jan 21, 2025 · The equivalent quadratic equation after substitution is u2 + 7u − 8 = 0, where u = 3x + 2. This substitution simplifies the original equation for easier solving.