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Simplifying 0 = 5x2 + x + -238 Reorder the terms: 0 = -238 + x + 5x2 Solving 0 = -238 + x + 5x2 Solving for variable 'x'. Combine like terms: 0 + 238 = 238 238 + -1x + -5x2 = -238 + x + 5x2 + 238 + -1x + -5x2 Reorder the terms: 238 + -1x + -5x2 = -238 + 238 + x + -1x + 5x2 + -5x2 Combine like terms: -238 + 238 = 0 238 + -1x + -5x2 = 0 + x + -1x + 5x2 + -5x2 238 + -1x + -5x2 = x + -1x + 5x2 + -5x2 Combine like terms: x + -1x = 0 238 + -1x + -5x2 = 0 + 5x2 + -5x2 238 + -1x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 238 + -1x + -5x2 = 0 Factor a trinomial. (34 + -5x)(7 + x) = 0Subproblem 1
Set the factor '(34 + -5x)' equal to zero and attempt to solve: Simplifying 34 + -5x = 0 Solving 34 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -5x = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -5x = 0 + -34 -5x = 0 + -34 Combine like terms: 0 + -34 = -34 -5x = -34 Divide each side by '-5'. x = 6.8 Simplifying x = 6.8Subproblem 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 = {6.8, -7}
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