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Simplifying (4x + -7)(5x + -7) = 0 Reorder the terms: (-7 + 4x)(5x + -7) = 0 Reorder the terms: (-7 + 4x)(-7 + 5x) = 0 Multiply (-7 + 4x) * (-7 + 5x) (-7(-7 + 5x) + 4x * (-7 + 5x)) = 0 ((-7 * -7 + 5x * -7) + 4x * (-7 + 5x)) = 0 ((49 + -35x) + 4x * (-7 + 5x)) = 0 (49 + -35x + (-7 * 4x + 5x * 4x)) = 0 (49 + -35x + (-28x + 20x2)) = 0 Combine like terms: -35x + -28x = -63x (49 + -63x + 20x2) = 0 Solving 49 + -63x + 20x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -5x)(7 + -4x) = 0Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Subproblem 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 = {1.4, 1.75}
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