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Simplifying (x + -3)(x + 4) = 7x + 4 Reorder the terms: (-3 + x)(x + 4) = 7x + 4 Reorder the terms: (-3 + x)(4 + x) = 7x + 4 Multiply (-3 + x) * (4 + x) (-3(4 + x) + x(4 + x)) = 7x + 4 ((4 * -3 + x * -3) + x(4 + x)) = 7x + 4 ((-12 + -3x) + x(4 + x)) = 7x + 4 (-12 + -3x + (4 * x + x * x)) = 7x + 4 (-12 + -3x + (4x + x2)) = 7x + 4 Combine like terms: -3x + 4x = 1x (-12 + 1x + x2) = 7x + 4 Reorder the terms: -12 + 1x + x2 = 4 + 7x Solving -12 + 1x + x2 = 4 + 7x Solving for variable 'x'. Reorder the terms: -12 + -4 + 1x + -7x + x2 = 4 + 7x + -4 + -7x Combine like terms: -12 + -4 = -16 -16 + 1x + -7x + x2 = 4 + 7x + -4 + -7x Combine like terms: 1x + -7x = -6x -16 + -6x + x2 = 4 + 7x + -4 + -7x Reorder the terms: -16 + -6x + x2 = 4 + -4 + 7x + -7x Combine like terms: 4 + -4 = 0 -16 + -6x + x2 = 0 + 7x + -7x -16 + -6x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -16 + -6x + x2 = 0 Factor a trinomial. (-2 + -1x)(8 + -1x) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-2, 8}
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