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Simplifying 25 = 4x2 + -5x + -50 Reorder the terms: 25 = -50 + -5x + 4x2 Solving 25 = -50 + -5x + 4x2 Solving for variable 'x'. Combine like terms: 25 + 50 = 75 75 + 5x + -4x2 = -50 + -5x + 4x2 + 50 + 5x + -4x2 Reorder the terms: 75 + 5x + -4x2 = -50 + 50 + -5x + 5x + 4x2 + -4x2 Combine like terms: -50 + 50 = 0 75 + 5x + -4x2 = 0 + -5x + 5x + 4x2 + -4x2 75 + 5x + -4x2 = -5x + 5x + 4x2 + -4x2 Combine like terms: -5x + 5x = 0 75 + 5x + -4x2 = 0 + 4x2 + -4x2 75 + 5x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 75 + 5x + -4x2 = 0 Factor a trinomial. (5 + -1x)(15 + 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 '(15 + 4x)' equal to zero and attempt to solve: Simplifying 15 + 4x = 0 Solving 15 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4x = 0 + -15 4x = 0 + -15 Combine like terms: 0 + -15 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75Solution
x = {5, -3.75}
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