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Simplifying 10X2 + 70X + 100 = 0 Reorder the terms: 100 + 70X + 10X2 = 0 Solving 100 + 70X + 10X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '10'. 10(10 + 7X + X2) = 0 Factor a trinomial. 10((5 + X)(2 + 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 '(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 = {-5, -2}
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