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