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Simplifying 35x2 + 120x = -45 Reorder the terms: 120x + 35x2 = -45 Solving 120x + 35x2 = -45 Solving for variable 'x'. Reorder the terms: 45 + 120x + 35x2 = -45 + 45 Combine like terms: -45 + 45 = 0 45 + 120x + 35x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(9 + 24x + 7x2) = 0 Factor a trinomial. 5((3 + x)(3 + 7x)) = 0 Ignore the factor 5.Subproblem 1
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 = -3Subproblem 2
Set the factor '(3 + 7x)' equal to zero and attempt to solve: Simplifying 3 + 7x = 0 Solving 3 + 7x = 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 + 7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7x = 0 + -3 7x = 0 + -3 Combine like terms: 0 + -3 = -3 7x = -3 Divide each side by '7'. x = -0.4285714286 Simplifying x = -0.4285714286Solution
x = {-3, -0.4285714286}
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