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Simplifying 0 = 7x2 + 12x + -4 Reorder the terms: 0 = -4 + 12x + 7x2 Solving 0 = -4 + 12x + 7x2 Solving for variable 'x'. Combine like terms: 0 + 4 = 4 4 + -12x + -7x2 = -4 + 12x + 7x2 + 4 + -12x + -7x2 Reorder the terms: 4 + -12x + -7x2 = -4 + 4 + 12x + -12x + 7x2 + -7x2 Combine like terms: -4 + 4 = 0 4 + -12x + -7x2 = 0 + 12x + -12x + 7x2 + -7x2 4 + -12x + -7x2 = 12x + -12x + 7x2 + -7x2 Combine like terms: 12x + -12x = 0 4 + -12x + -7x2 = 0 + 7x2 + -7x2 4 + -12x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 4 + -12x + -7x2 = 0 Factor a trinomial. (2 + -7x)(2 + x) = 0Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 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 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Subproblem 2
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 = -2Solution
x = {0.2857142857, -2}
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