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Simplifying 2(7x + -5)(9x + 1) = 0 Reorder the terms: 2(-5 + 7x)(9x + 1) = 0 Reorder the terms: 2(-5 + 7x)(1 + 9x) = 0 Multiply (-5 + 7x) * (1 + 9x) 2(-5(1 + 9x) + 7x * (1 + 9x)) = 0 2((1 * -5 + 9x * -5) + 7x * (1 + 9x)) = 0 2((-5 + -45x) + 7x * (1 + 9x)) = 0 2(-5 + -45x + (1 * 7x + 9x * 7x)) = 0 2(-5 + -45x + (7x + 63x2)) = 0 Combine like terms: -45x + 7x = -38x 2(-5 + -38x + 63x2) = 0 (-5 * 2 + -38x * 2 + 63x2 * 2) = 0 (-10 + -76x + 126x2) = 0 Solving -10 + -76x + 126x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -38x + 63x2) = 0 Factor a trinomial. 2((-1 + -9x)(5 + -7x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -9x)' equal to zero and attempt to solve: Simplifying -1 + -9x = 0 Solving -1 + -9x = 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 + -9x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9x = 0 + 1 -9x = 0 + 1 Combine like terms: 0 + 1 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111Subproblem 2
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 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 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {-0.1111111111, 0.7142857143}
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