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Simplifying 7x2 + 114x + 360 = 0 Reorder the terms: 360 + 114x + 7x2 = 0 Solving 360 + 114x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (12 + x)(30 + 7x) = 0Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 2
Set the factor '(30 + 7x)' equal to zero and attempt to solve: Simplifying 30 + 7x = 0 Solving 30 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 7x = 0 + -30 7x = 0 + -30 Combine like terms: 0 + -30 = -30 7x = -30 Divide each side by '7'. x = -4.285714286 Simplifying x = -4.285714286Solution
x = {-12, -4.285714286}
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