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Simplifying 4x + (x + 6)(x + -3) = 0 Reorder the terms: 4x + (6 + x)(x + -3) = 0 Reorder the terms: 4x + (6 + x)(-3 + x) = 0 Multiply (6 + x) * (-3 + x) 4x + (6(-3 + x) + x(-3 + x)) = 0 4x + ((-3 * 6 + x * 6) + x(-3 + x)) = 0 4x + ((-18 + 6x) + x(-3 + x)) = 0 4x + (-18 + 6x + (-3 * x + x * x)) = 0 4x + (-18 + 6x + (-3x + x2)) = 0 Combine like terms: 6x + -3x = 3x 4x + (-18 + 3x + x2) = 0 Reorder the terms: -18 + 4x + 3x + x2 = 0 Combine like terms: 4x + 3x = 7x -18 + 7x + x2 = 0 Solving -18 + 7x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-9, 2}
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