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Simplifying 2x2 + -10x = -38x + -98 Reorder the terms: -10x + 2x2 = -38x + -98 Reorder the terms: -10x + 2x2 = -98 + -38x Solving -10x + 2x2 = -98 + -38x Solving for variable 'x'. Reorder the terms: 98 + -10x + 38x + 2x2 = -98 + -38x + 98 + 38x Combine like terms: -10x + 38x = 28x 98 + 28x + 2x2 = -98 + -38x + 98 + 38x Reorder the terms: 98 + 28x + 2x2 = -98 + 98 + -38x + 38x Combine like terms: -98 + 98 = 0 98 + 28x + 2x2 = 0 + -38x + 38x 98 + 28x + 2x2 = -38x + 38x Combine like terms: -38x + 38x = 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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