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Simplifying 28x + -2x2 = 26 Solving 28x + -2x2 = 26 Solving for variable 'x'. Reorder the terms: -26 + 28x + -2x2 = 26 + -26 Combine like terms: 26 + -26 = 0 -26 + 28x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-13 + 14x + -1x2) = 0 Factor a trinomial. 2((-13 + x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-13 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Simplifying x = 13Subproblem 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 = {13, 1}
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