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Simplifying 14x2 + 35x = 126 Reorder the terms: 35x + 14x2 = 126 Solving 35x + 14x2 = 126 Solving for variable 'x'. Reorder the terms: -126 + 35x + 14x2 = 126 + -126 Combine like terms: 126 + -126 = 0 -126 + 35x + 14x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-18 + 5x + 2x2) = 0 Factor a trinomial. 7((-9 + -2x)(2 + -1x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-9 + -2x)' equal to zero and attempt to solve: Simplifying -9 + -2x = 0 Solving -9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = 0 + 9 -2x = 0 + 9 Combine like terms: 0 + 9 = 9 -2x = 9 Divide each side by '-2'. x = -4.5 Simplifying x = -4.5Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-4.5, 2}
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