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Simplifying 5x2 + 80x + 400 = 4x2 + 88x + 484 Reorder the terms: 400 + 80x + 5x2 = 4x2 + 88x + 484 Reorder the terms: 400 + 80x + 5x2 = 484 + 88x + 4x2 Solving 400 + 80x + 5x2 = 484 + 88x + 4x2 Solving for variable 'x'. Reorder the terms: 400 + -484 + 80x + -88x + 5x2 + -4x2 = 484 + 88x + 4x2 + -484 + -88x + -4x2 Combine like terms: 400 + -484 = -84 -84 + 80x + -88x + 5x2 + -4x2 = 484 + 88x + 4x2 + -484 + -88x + -4x2 Combine like terms: 80x + -88x = -8x -84 + -8x + 5x2 + -4x2 = 484 + 88x + 4x2 + -484 + -88x + -4x2 Combine like terms: 5x2 + -4x2 = 1x2 -84 + -8x + 1x2 = 484 + 88x + 4x2 + -484 + -88x + -4x2 Reorder the terms: -84 + -8x + 1x2 = 484 + -484 + 88x + -88x + 4x2 + -4x2 Combine like terms: 484 + -484 = 0 -84 + -8x + 1x2 = 0 + 88x + -88x + 4x2 + -4x2 -84 + -8x + 1x2 = 88x + -88x + 4x2 + -4x2 Combine like terms: 88x + -88x = 0 -84 + -8x + 1x2 = 0 + 4x2 + -4x2 -84 + -8x + 1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -84 + -8x + 1x2 = 0 Factor a trinomial. (-6 + -1x)(14 + -1x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {-6, 14}
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