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Simplifying (4x + 3)(x + -3) = 16x + 12 Reorder the terms: (3 + 4x)(x + -3) = 16x + 12 Reorder the terms: (3 + 4x)(-3 + x) = 16x + 12 Multiply (3 + 4x) * (-3 + x) (3(-3 + x) + 4x * (-3 + x)) = 16x + 12 ((-3 * 3 + x * 3) + 4x * (-3 + x)) = 16x + 12 ((-9 + 3x) + 4x * (-3 + x)) = 16x + 12 (-9 + 3x + (-3 * 4x + x * 4x)) = 16x + 12 (-9 + 3x + (-12x + 4x2)) = 16x + 12 Combine like terms: 3x + -12x = -9x (-9 + -9x + 4x2) = 16x + 12 Reorder the terms: -9 + -9x + 4x2 = 12 + 16x Solving -9 + -9x + 4x2 = 12 + 16x Solving for variable 'x'. Reorder the terms: -9 + -12 + -9x + -16x + 4x2 = 12 + 16x + -12 + -16x Combine like terms: -9 + -12 = -21 -21 + -9x + -16x + 4x2 = 12 + 16x + -12 + -16x Combine like terms: -9x + -16x = -25x -21 + -25x + 4x2 = 12 + 16x + -12 + -16x Reorder the terms: -21 + -25x + 4x2 = 12 + -12 + 16x + -16x Combine like terms: 12 + -12 = 0 -21 + -25x + 4x2 = 0 + 16x + -16x -21 + -25x + 4x2 = 16x + -16x Combine like terms: 16x + -16x = 0 -21 + -25x + 4x2 = 0 Factor a trinomial. (-3 + -4x)(7 + -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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-0.75, 7}
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