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Simplifying 2x2 + 26x + 56 = 4x Reorder the terms: 56 + 26x + 2x2 = 4x Solving 56 + 26x + 2x2 = 4x Solving for variable 'x'. Reorder the terms: 56 + 26x + -4x + 2x2 = 4x + -4x Combine like terms: 26x + -4x = 22x 56 + 22x + 2x2 = 4x + -4x Combine like terms: 4x + -4x = 0 56 + 22x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(28 + 11x + x2) = 0 Factor a trinomial. 2((7 + x)(4 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-7, -4}
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