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Simplifying (4x + -7)(2x + -9) = 0 Reorder the terms: (-7 + 4x)(2x + -9) = 0 Reorder the terms: (-7 + 4x)(-9 + 2x) = 0 Multiply (-7 + 4x) * (-9 + 2x) (-7(-9 + 2x) + 4x * (-9 + 2x)) = 0 ((-9 * -7 + 2x * -7) + 4x * (-9 + 2x)) = 0 ((63 + -14x) + 4x * (-9 + 2x)) = 0 (63 + -14x + (-9 * 4x + 2x * 4x)) = 0 (63 + -14x + (-36x + 8x2)) = 0 Combine like terms: -14x + -36x = -50x (63 + -50x + 8x2) = 0 Solving 63 + -50x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -4x)(9 + -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 '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {1.75, 4.5}
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