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Simplifying (4x + -7)(3x + 8) = 0 Reorder the terms: (-7 + 4x)(3x + 8) = 0 Reorder the terms: (-7 + 4x)(8 + 3x) = 0 Multiply (-7 + 4x) * (8 + 3x) (-7(8 + 3x) + 4x * (8 + 3x)) = 0 ((8 * -7 + 3x * -7) + 4x * (8 + 3x)) = 0 ((-56 + -21x) + 4x * (8 + 3x)) = 0 (-56 + -21x + (8 * 4x + 3x * 4x)) = 0 (-56 + -21x + (32x + 12x2)) = 0 Combine like terms: -21x + 32x = 11x (-56 + 11x + 12x2) = 0 Solving -56 + 11x + 12x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -3x)(7 + -4x) = 0Subproblem 1
Set the factor '(-8 + -3x)' equal to zero and attempt to solve: Simplifying -8 + -3x = 0 Solving -8 + -3x = 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 + -3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 0 + 8 -3x = 0 + 8 Combine like terms: 0 + 8 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {-2.666666667, 1.75}
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