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Simplifying (-4x + 5)(-2x + 7) = 0 Reorder the terms: (5 + -4x)(-2x + 7) = 0 Reorder the terms: (5 + -4x)(7 + -2x) = 0 Multiply (5 + -4x) * (7 + -2x) (5(7 + -2x) + -4x * (7 + -2x)) = 0 ((7 * 5 + -2x * 5) + -4x * (7 + -2x)) = 0 ((35 + -10x) + -4x * (7 + -2x)) = 0 (35 + -10x + (7 * -4x + -2x * -4x)) = 0 (35 + -10x + (-28x + 8x2)) = 0 Combine like terms: -10x + -28x = -38x (35 + -38x + 8x2) = 0 Solving 35 + -38x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -4x)(7 + -2x) = 0Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {1.25, 3.5}
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