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Simplifying 7x2 + 70x + 144 = -3 Reorder the terms: 144 + 70x + 7x2 = -3 Solving 144 + 70x + 7x2 = -3 Solving for variable 'x'. Reorder the terms: 144 + 3 + 70x + 7x2 = -3 + 3 Combine like terms: 144 + 3 = 147 147 + 70x + 7x2 = -3 + 3 Combine like terms: -3 + 3 = 0 147 + 70x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(21 + 10x + x2) = 0 Factor a trinomial. 7((7 + x)(3 + x)) = 0 Ignore the factor 7.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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-7, -3}
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