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Simplifying (2x + 3)(-4x + 7) = 0 Reorder the terms: (3 + 2x)(-4x + 7) = 0 Reorder the terms: (3 + 2x)(7 + -4x) = 0 Multiply (3 + 2x) * (7 + -4x) (3(7 + -4x) + 2x * (7 + -4x)) = 0 ((7 * 3 + -4x * 3) + 2x * (7 + -4x)) = 0 ((21 + -12x) + 2x * (7 + -4x)) = 0 (21 + -12x + (7 * 2x + -4x * 2x)) = 0 (21 + -12x + (14x + -8x2)) = 0 Combine like terms: -12x + 14x = 2x (21 + 2x + -8x2) = 0 Solving 21 + 2x + -8x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -4x)(3 + 2x) = 0Subproblem 1
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 = 1.75Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {1.75, -1.5}
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