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Simplifying 140x2 + 300x = -40x + -120 Reorder the terms: 300x + 140x2 = -40x + -120 Reorder the terms: 300x + 140x2 = -120 + -40x Solving 300x + 140x2 = -120 + -40x Solving for variable 'x'. Reorder the terms: 120 + 300x + 40x + 140x2 = -120 + -40x + 120 + 40x Combine like terms: 300x + 40x = 340x 120 + 340x + 140x2 = -120 + -40x + 120 + 40x Reorder the terms: 120 + 340x + 140x2 = -120 + 120 + -40x + 40x Combine like terms: -120 + 120 = 0 120 + 340x + 140x2 = 0 + -40x + 40x 120 + 340x + 140x2 = -40x + 40x Combine like terms: -40x + 40x = 0 120 + 340x + 140x2 = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(6 + 17x + 7x2) = 0 Factor a trinomial. 20((2 + x)(3 + 7x)) = 0 Ignore the factor 20.Subproblem 1
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 = -2Subproblem 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 = {-2, -0.4285714286}
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