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Simplifying 5(5 + -7x)(6 + -1x) = 0 Multiply (5 + -7x) * (6 + -1x) 5(5(6 + -1x) + -7x * (6 + -1x)) = 0 5((6 * 5 + -1x * 5) + -7x * (6 + -1x)) = 0 5((30 + -5x) + -7x * (6 + -1x)) = 0 5(30 + -5x + (6 * -7x + -1x * -7x)) = 0 5(30 + -5x + (-42x + 7x2)) = 0 Combine like terms: -5x + -42x = -47x 5(30 + -47x + 7x2) = 0 (30 * 5 + -47x * 5 + 7x2 * 5) = 0 (150 + -235x + 35x2) = 0 Solving 150 + -235x + 35x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(30 + -47x + 7x2) = 0 Factor a trinomial. 5((5 + -7x)(6 + -1x)) = 0 Ignore the factor 5.Subproblem 1
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 = 0.7142857143Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {0.7142857143, 6}
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