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Simplifying (4x + 3)(x + -3) = 20x + 15 Reorder the terms: (3 + 4x)(x + -3) = 20x + 15 Reorder the terms: (3 + 4x)(-3 + x) = 20x + 15 Multiply (3 + 4x) * (-3 + x) (3(-3 + x) + 4x * (-3 + x)) = 20x + 15 ((-3 * 3 + x * 3) + 4x * (-3 + x)) = 20x + 15 ((-9 + 3x) + 4x * (-3 + x)) = 20x + 15 (-9 + 3x + (-3 * 4x + x * 4x)) = 20x + 15 (-9 + 3x + (-12x + 4x2)) = 20x + 15 Combine like terms: 3x + -12x = -9x (-9 + -9x + 4x2) = 20x + 15 Reorder the terms: -9 + -9x + 4x2 = 15 + 20x Solving -9 + -9x + 4x2 = 15 + 20x Solving for variable 'x'. Reorder the terms: -9 + -15 + -9x + -20x + 4x2 = 15 + 20x + -15 + -20x Combine like terms: -9 + -15 = -24 -24 + -9x + -20x + 4x2 = 15 + 20x + -15 + -20x Combine like terms: -9x + -20x = -29x -24 + -29x + 4x2 = 15 + 20x + -15 + -20x Reorder the terms: -24 + -29x + 4x2 = 15 + -15 + 20x + -20x Combine like terms: 15 + -15 = 0 -24 + -29x + 4x2 = 0 + 20x + -20x -24 + -29x + 4x2 = 20x + -20x Combine like terms: 20x + -20x = 0 -24 + -29x + 4x2 = 0 Factor a trinomial. (-3 + -4x)(8 + -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 '(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 = {-0.75, 8}
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