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Simplifying 0 = 4x2 + 5x + -125 Reorder the terms: 0 = -125 + 5x + 4x2 Solving 0 = -125 + 5x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 125 = 125 125 + -5x + -4x2 = -125 + 5x + 4x2 + 125 + -5x + -4x2 Reorder the terms: 125 + -5x + -4x2 = -125 + 125 + 5x + -5x + 4x2 + -4x2 Combine like terms: -125 + 125 = 0 125 + -5x + -4x2 = 0 + 5x + -5x + 4x2 + -4x2 125 + -5x + -4x2 = 5x + -5x + 4x2 + -4x2 Combine like terms: 5x + -5x = 0 125 + -5x + -4x2 = 0 + 4x2 + -4x2 125 + -5x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 125 + -5x + -4x2 = 0 Factor a trinomial. (5 + -1x)(25 + 4x) = 0Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(25 + 4x)' equal to zero and attempt to solve: Simplifying 25 + 4x = 0 Solving 25 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 0 + -25 4x = 0 + -25 Combine like terms: 0 + -25 = -25 4x = -25 Divide each side by '4'. x = -6.25 Simplifying x = -6.25Solution
x = {5, -6.25}
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