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Simplifying (4x + -2)(x + 2) = 15x + 5 Reorder the terms: (-2 + 4x)(x + 2) = 15x + 5 Reorder the terms: (-2 + 4x)(2 + x) = 15x + 5 Multiply (-2 + 4x) * (2 + x) (-2(2 + x) + 4x * (2 + x)) = 15x + 5 ((2 * -2 + x * -2) + 4x * (2 + x)) = 15x + 5 ((-4 + -2x) + 4x * (2 + x)) = 15x + 5 (-4 + -2x + (2 * 4x + x * 4x)) = 15x + 5 (-4 + -2x + (8x + 4x2)) = 15x + 5 Combine like terms: -2x + 8x = 6x (-4 + 6x + 4x2) = 15x + 5 Reorder the terms: -4 + 6x + 4x2 = 5 + 15x Solving -4 + 6x + 4x2 = 5 + 15x Solving for variable 'x'. Reorder the terms: -4 + -5 + 6x + -15x + 4x2 = 5 + 15x + -5 + -15x Combine like terms: -4 + -5 = -9 -9 + 6x + -15x + 4x2 = 5 + 15x + -5 + -15x Combine like terms: 6x + -15x = -9x -9 + -9x + 4x2 = 5 + 15x + -5 + -15x Reorder the terms: -9 + -9x + 4x2 = 5 + -5 + 15x + -15x Combine like terms: 5 + -5 = 0 -9 + -9x + 4x2 = 0 + 15x + -15x -9 + -9x + 4x2 = 15x + -15x Combine like terms: 15x + -15x = 0 -9 + -9x + 4x2 = 0 Factor a trinomial. (-3 + -4x)(3 + -1x) = 0Subproblem 1
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 = -0.75Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.75, 3}
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