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Simplifying 210x2 + -108 = 162x Reorder the terms: -108 + 210x2 = 162x Solving -108 + 210x2 = 162x Solving for variable 'x'. Reorder the terms: -108 + -162x + 210x2 = 162x + -162x Combine like terms: 162x + -162x = 0 -108 + -162x + 210x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-18 + -27x + 35x2) = 0 Factor a trinomial. 6((-3 + -7x)(6 + -5x)) = 0 Ignore the factor 6.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 '(6 + -5x)' equal to zero and attempt to solve: Simplifying 6 + -5x = 0 Solving 6 + -5x = 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 + -5x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5x = 0 + -6 -5x = 0 + -6 Combine like terms: 0 + -6 = -6 -5x = -6 Divide each side by '-5'. x = 1.2 Simplifying x = 1.2Solution
x = {-0.4285714286, 1.2}
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