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Simplifying (7x + -2)(x + 5) = (x + 5) * 2 Reorder the terms: (-2 + 7x)(x + 5) = (x + 5) * 2 Reorder the terms: (-2 + 7x)(5 + x) = (x + 5) * 2 Multiply (-2 + 7x) * (5 + x) (-2(5 + x) + 7x * (5 + x)) = (x + 5) * 2 ((5 * -2 + x * -2) + 7x * (5 + x)) = (x + 5) * 2 ((-10 + -2x) + 7x * (5 + x)) = (x + 5) * 2 (-10 + -2x + (5 * 7x + x * 7x)) = (x + 5) * 2 (-10 + -2x + (35x + 7x2)) = (x + 5) * 2 Combine like terms: -2x + 35x = 33x (-10 + 33x + 7x2) = (x + 5) * 2 Reorder the terms: -10 + 33x + 7x2 = (5 + x) * 2 Reorder the terms for easier multiplication: -10 + 33x + 7x2 = 2(5 + x) -10 + 33x + 7x2 = (5 * 2 + x * 2) -10 + 33x + 7x2 = (10 + 2x) Solving -10 + 33x + 7x2 = 10 + 2x Solving for variable 'x'. Reorder the terms: -10 + -10 + 33x + -2x + 7x2 = 10 + 2x + -10 + -2x Combine like terms: -10 + -10 = -20 -20 + 33x + -2x + 7x2 = 10 + 2x + -10 + -2x Combine like terms: 33x + -2x = 31x -20 + 31x + 7x2 = 10 + 2x + -10 + -2x Reorder the terms: -20 + 31x + 7x2 = 10 + -10 + 2x + -2x Combine like terms: 10 + -10 = 0 -20 + 31x + 7x2 = 0 + 2x + -2x -20 + 31x + 7x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -20 + 31x + 7x2 = 0 Factor a trinomial. (-5 + -1x)(4 + -7x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(4 + -7x)' equal to zero and attempt to solve: Simplifying 4 + -7x = 0 Solving 4 + -7x = 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 + -7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 0 + -4 -7x = 0 + -4 Combine like terms: 0 + -4 = -4 -7x = -4 Divide each side by '-7'. x = 0.5714285714 Simplifying x = 0.5714285714Solution
x = {-5, 0.5714285714}
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