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Simplifying (4x + -4)(x + 3) = 7x + -9 Reorder the terms: (-4 + 4x)(x + 3) = 7x + -9 Reorder the terms: (-4 + 4x)(3 + x) = 7x + -9 Multiply (-4 + 4x) * (3 + x) (-4(3 + x) + 4x * (3 + x)) = 7x + -9 ((3 * -4 + x * -4) + 4x * (3 + x)) = 7x + -9 ((-12 + -4x) + 4x * (3 + x)) = 7x + -9 (-12 + -4x + (3 * 4x + x * 4x)) = 7x + -9 (-12 + -4x + (12x + 4x2)) = 7x + -9 Combine like terms: -4x + 12x = 8x (-12 + 8x + 4x2) = 7x + -9 Reorder the terms: -12 + 8x + 4x2 = -9 + 7x Solving -12 + 8x + 4x2 = -9 + 7x Solving for variable 'x'. Reorder the terms: -12 + 9 + 8x + -7x + 4x2 = -9 + 7x + 9 + -7x Combine like terms: -12 + 9 = -3 -3 + 8x + -7x + 4x2 = -9 + 7x + 9 + -7x Combine like terms: 8x + -7x = 1x -3 + 1x + 4x2 = -9 + 7x + 9 + -7x Reorder the terms: -3 + 1x + 4x2 = -9 + 9 + 7x + -7x Combine like terms: -9 + 9 = 0 -3 + 1x + 4x2 = 0 + 7x + -7x -3 + 1x + 4x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -3 + 1x + 4x2 = 0 Factor a trinomial. (-1 + -1x)(3 + -4x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 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 = {-1, 0.75}
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