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Simplifying (-2x + 5)(-4x + 7) = 0 Reorder the terms: (5 + -2x)(-4x + 7) = 0 Reorder the terms: (5 + -2x)(7 + -4x) = 0 Multiply (5 + -2x) * (7 + -4x) (5(7 + -4x) + -2x * (7 + -4x)) = 0 ((7 * 5 + -4x * 5) + -2x * (7 + -4x)) = 0 ((35 + -20x) + -2x * (7 + -4x)) = 0 (35 + -20x + (7 * -2x + -4x * -2x)) = 0 (35 + -20x + (-14x + 8x2)) = 0 Combine like terms: -20x + -14x = -34x (35 + -34x + 8x2) = 0 Solving 35 + -34x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -4x)(5 + -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 '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {1.75, 2.5}
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