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Simplifying -2x2 + -98 = 28x Reorder the terms: -98 + -2x2 = 28x Solving -98 + -2x2 = 28x Solving for variable 'x'. Reorder the terms: -98 + -28x + -2x2 = 28x + -28x Combine like terms: 28x + -28x = 0 -98 + -28x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(49 + 14x + x2) = 0 Factor a trinomial. -2((7 + x)(7 + 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 '(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 = -7Solution
x = {-7, -7}
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