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Simplifying 5x(x + 14) + 70(x + 14) = 0 Reorder the terms: 5x(14 + x) + 70(x + 14) = 0 (14 * 5x + x * 5x) + 70(x + 14) = 0 (70x + 5x2) + 70(x + 14) = 0 Reorder the terms: 70x + 5x2 + 70(14 + x) = 0 70x + 5x2 + (14 * 70 + x * 70) = 0 70x + 5x2 + (980 + 70x) = 0 Reorder the terms: 980 + 70x + 70x + 5x2 = 0 Combine like terms: 70x + 70x = 140x 980 + 140x + 5x2 = 0 Solving 980 + 140x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(196 + 28x + x2) = 0 Factor a trinomial. 5((14 + x)(14 + x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve: Simplifying 14 + x = 0 Solving 14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Simplifying x = -14Solution
x = {-14, -14}
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