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Simplifying 2x2 + 28 = -18x Reorder the terms: 28 + 2x2 = -18x Solving 28 + 2x2 = -18x Solving for variable 'x'. Reorder the terms: 28 + 18x + 2x2 = -18x + 18x Combine like terms: -18x + 18x = 0 28 + 18x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(14 + 9x + x2) = 0 Factor a trinomial. 2((7 + x)(2 + 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 '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-7, -2}
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