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Simplifying 245x2 + -75 = 70x Reorder the terms: -75 + 245x2 = 70x Solving -75 + 245x2 = 70x Solving for variable 'x'. Reorder the terms: -75 + -70x + 245x2 = 70x + -70x Combine like terms: 70x + -70x = 0 -75 + -70x + 245x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-15 + -14x + 49x2) = 0 Factor a trinomial. 5((-3 + -7x)(5 + -7x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -7x)' equal to zero and attempt to solve: Simplifying -3 + -7x = 0 Solving -3 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 0 + 3 -7x = 0 + 3 Combine like terms: 0 + 3 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286Subproblem 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 = {-0.4285714286, 0.7142857143}
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