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Simplifying -70x2 + 36x = -10 Reorder the terms: 36x + -70x2 = -10 Solving 36x + -70x2 = -10 Solving for variable 'x'. Reorder the terms: 10 + 36x + -70x2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 36x + -70x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 18x + -35x2) = 0 Factor a trinomial. 2((5 + -7x)(1 + 5x)) = 0 Ignore the factor 2.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 '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {0.7142857143, -0.2}
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