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Simplifying (-5x + -2)(-2x + 7) = 0 Reorder the terms: (-2 + -5x)(-2x + 7) = 0 Reorder the terms: (-2 + -5x)(7 + -2x) = 0 Multiply (-2 + -5x) * (7 + -2x) (-2(7 + -2x) + -5x * (7 + -2x)) = 0 ((7 * -2 + -2x * -2) + -5x * (7 + -2x)) = 0 ((-14 + 4x) + -5x * (7 + -2x)) = 0 (-14 + 4x + (7 * -5x + -2x * -5x)) = 0 (-14 + 4x + (-35x + 10x2)) = 0 Combine like terms: 4x + -35x = -31x (-14 + -31x + 10x2) = 0 Solving -14 + -31x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -5x)(7 + -2x) = 0Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4Subproblem 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 = {-0.4, 3.5}
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