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Simplifying 10x2 + 100x + 98 = -152 Reorder the terms: 98 + 100x + 10x2 = -152 Solving 98 + 100x + 10x2 = -152 Solving for variable 'x'. Reorder the terms: 98 + 152 + 100x + 10x2 = -152 + 152 Combine like terms: 98 + 152 = 250 250 + 100x + 10x2 = -152 + 152 Combine like terms: -152 + 152 = 0 250 + 100x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(25 + 10x + x2) = 0 Factor a trinomial. 10((5 + x)(5 + x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-5, -5}
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