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Simplifying (-7x + 2)(5x + 4) = 0 Reorder the terms: (2 + -7x)(5x + 4) = 0 Reorder the terms: (2 + -7x)(4 + 5x) = 0 Multiply (2 + -7x) * (4 + 5x) (2(4 + 5x) + -7x * (4 + 5x)) = 0 ((4 * 2 + 5x * 2) + -7x * (4 + 5x)) = 0 ((8 + 10x) + -7x * (4 + 5x)) = 0 (8 + 10x + (4 * -7x + 5x * -7x)) = 0 (8 + 10x + (-28x + -35x2)) = 0 Combine like terms: 10x + -28x = -18x (8 + -18x + -35x2) = 0 Solving 8 + -18x + -35x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -7x)(4 + 5x) = 0Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 2
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 = -0.8Solution
x = {0.2857142857, -0.8}
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