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Simplifying (4x + -9)(4x + -7) = 0 Reorder the terms: (-9 + 4x)(4x + -7) = 0 Reorder the terms: (-9 + 4x)(-7 + 4x) = 0 Multiply (-9 + 4x) * (-7 + 4x) (-9(-7 + 4x) + 4x * (-7 + 4x)) = 0 ((-7 * -9 + 4x * -9) + 4x * (-7 + 4x)) = 0 ((63 + -36x) + 4x * (-7 + 4x)) = 0 (63 + -36x + (-7 * 4x + 4x * 4x)) = 0 (63 + -36x + (-28x + 16x2)) = 0 Combine like terms: -36x + -28x = -64x (63 + -64x + 16x2) = 0 Solving 63 + -64x + 16x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -4x)(9 + -4x) = 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 + -4x)' equal to zero and attempt to solve: Simplifying 9 + -4x = 0 Solving 9 + -4x = 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 + -4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 0 + -9 -4x = 0 + -9 Combine like terms: 0 + -9 = -9 -4x = -9 Divide each side by '-4'. x = 2.25 Simplifying x = 2.25Solution
x = {1.75, 2.25}
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