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Simplifying 4x(x + 7) + -6 = 9(x + -2) Reorder the terms: 4x(7 + x) + -6 = 9(x + -2) (7 * 4x + x * 4x) + -6 = 9(x + -2) (28x + 4x2) + -6 = 9(x + -2) Reorder the terms: -6 + 28x + 4x2 = 9(x + -2) Reorder the terms: -6 + 28x + 4x2 = 9(-2 + x) -6 + 28x + 4x2 = (-2 * 9 + x * 9) -6 + 28x + 4x2 = (-18 + 9x) Solving -6 + 28x + 4x2 = -18 + 9x Solving for variable 'x'. Reorder the terms: -6 + 18 + 28x + -9x + 4x2 = -18 + 9x + 18 + -9x Combine like terms: -6 + 18 = 12 12 + 28x + -9x + 4x2 = -18 + 9x + 18 + -9x Combine like terms: 28x + -9x = 19x 12 + 19x + 4x2 = -18 + 9x + 18 + -9x Reorder the terms: 12 + 19x + 4x2 = -18 + 18 + 9x + -9x Combine like terms: -18 + 18 = 0 12 + 19x + 4x2 = 0 + 9x + -9x 12 + 19x + 4x2 = 9x + -9x Combine like terms: 9x + -9x = 0 12 + 19x + 4x2 = 0 Factor a trinomial. (4 + x)(3 + 4x) = 0Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Solution
x = {-4, -0.75}
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