Question

Solve for x:

4x² + 23x = -28

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Answer 1

To solve the quadratic equation 4x² + 23x = -28, we rearrange it to 4x² + 23x + 28 = 0 and use the quadratic formula. By substituting the coefficients into the formula, we find the two solutions for x.

Step-by-step explanation:

To solve the quadratic equation 4x² + 23x = -28, first we need to rearrange it into standard form. This yields:

4x² + 23x + 28 = 0.

We can solve this using the quadratic formula, which is x = (-b ± √(b² - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation.

For this equation, a = 4, b = 23, and c = 28. Plugging these values into the quadratic formula, we can calculate the two possible solutions for x:

x = (-23 ± √(23² - 4⋅ 4 ⋅ 28)) / (2 ⋅ 4).

By solving the equation, you will find the two values of x.