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Simplifying 30 = 60x2 + -70x Reorder the terms: 30 = -70x + 60x2 Solving 30 = -70x + 60x2 Solving for variable 'x'. Reorder the terms: 30 + 70x + -60x2 = -70x + 70x + 60x2 + -60x2 Combine like terms: -70x + 70x = 0 30 + 70x + -60x2 = 0 + 60x2 + -60x2 30 + 70x + -60x2 = 60x2 + -60x2 Combine like terms: 60x2 + -60x2 = 0 30 + 70x + -60x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(3 + 7x + -6x2) = 0 Factor a trinomial. 10((3 + -2x)(1 + 3x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(1 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {1.5, -0.3333333333}
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