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Simplifying 5x2 + -3x + 5 = 4x2 + 3x + -4 Reorder the terms: 5 + -3x + 5x2 = 4x2 + 3x + -4 Reorder the terms: 5 + -3x + 5x2 = -4 + 3x + 4x2 Solving 5 + -3x + 5x2 = -4 + 3x + 4x2 Solving for variable 'x'. Reorder the terms: 5 + 4 + -3x + -3x + 5x2 + -4x2 = -4 + 3x + 4x2 + 4 + -3x + -4x2 Combine like terms: 5 + 4 = 9 9 + -3x + -3x + 5x2 + -4x2 = -4 + 3x + 4x2 + 4 + -3x + -4x2 Combine like terms: -3x + -3x = -6x 9 + -6x + 5x2 + -4x2 = -4 + 3x + 4x2 + 4 + -3x + -4x2 Combine like terms: 5x2 + -4x2 = 1x2 9 + -6x + 1x2 = -4 + 3x + 4x2 + 4 + -3x + -4x2 Reorder the terms: 9 + -6x + 1x2 = -4 + 4 + 3x + -3x + 4x2 + -4x2 Combine like terms: -4 + 4 = 0 9 + -6x + 1x2 = 0 + 3x + -3x + 4x2 + -4x2 9 + -6x + 1x2 = 3x + -3x + 4x2 + -4x2 Combine like terms: 3x + -3x = 0 9 + -6x + 1x2 = 0 + 4x2 + -4x2 9 + -6x + 1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 9 + -6x + 1x2 = 0 Factor a trinomial. (3 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {3, 3}
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