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Simplifying (5x + 4)(5x + -7) = 0 Reorder the terms: (4 + 5x)(5x + -7) = 0 Reorder the terms: (4 + 5x)(-7 + 5x) = 0 Multiply (4 + 5x) * (-7 + 5x) (4(-7 + 5x) + 5x * (-7 + 5x)) = 0 ((-7 * 4 + 5x * 4) + 5x * (-7 + 5x)) = 0 ((-28 + 20x) + 5x * (-7 + 5x)) = 0 (-28 + 20x + (-7 * 5x + 5x * 5x)) = 0 (-28 + 20x + (-35x + 25x2)) = 0 Combine like terms: 20x + -35x = -15x (-28 + -15x + 25x2) = 0 Solving -28 + -15x + 25x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -5x)(7 + -5x) = 0Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8Subproblem 2
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 = 1.4Solution
x = {-0.8, 1.4}
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