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Simplifying 4x2 + 79x + 357 = 0 Reorder the terms: 357 + 79x + 4x2 = 0 Solving 357 + 79x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (51 + 4x)(7 + x) = 0Subproblem 1
Set the factor '(51 + 4x)' equal to zero and attempt to solve: Simplifying 51 + 4x = 0 Solving 51 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + 4x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 4x = 0 + -51 4x = 0 + -51 Combine like terms: 0 + -51 = -51 4x = -51 Divide each side by '4'. x = -12.75 Simplifying x = -12.75Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {-12.75, -7}
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