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Simplifying 56x2 + 12x + 2 = 70 Reorder the terms: 2 + 12x + 56x2 = 70 Solving 2 + 12x + 56x2 = 70 Solving for variable 'x'. Reorder the terms: 2 + -70 + 12x + 56x2 = 70 + -70 Combine like terms: 2 + -70 = -68 -68 + 12x + 56x2 = 70 + -70 Combine like terms: 70 + -70 = 0 -68 + 12x + 56x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-17 + 3x + 14x2) = 0 Factor a trinomial. 4((-17 + -14x)(1 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-17 + -14x)' equal to zero and attempt to solve: Simplifying -17 + -14x = 0 Solving -17 + -14x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -14x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -14x = 0 + 17 -14x = 0 + 17 Combine like terms: 0 + 17 = 17 -14x = 17 Divide each side by '-14'. x = -1.214285714 Simplifying x = -1.214285714Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-1.214285714, 1}
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