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Simplifying 4x2 + 8x + -2 = x2 + -6x + 3 Reorder the terms: -2 + 8x + 4x2 = x2 + -6x + 3 Reorder the terms: -2 + 8x + 4x2 = 3 + -6x + x2 Solving -2 + 8x + 4x2 = 3 + -6x + x2 Solving for variable 'x'. Reorder the terms: -2 + -3 + 8x + 6x + 4x2 + -1x2 = 3 + -6x + x2 + -3 + 6x + -1x2 Combine like terms: -2 + -3 = -5 -5 + 8x + 6x + 4x2 + -1x2 = 3 + -6x + x2 + -3 + 6x + -1x2 Combine like terms: 8x + 6x = 14x -5 + 14x + 4x2 + -1x2 = 3 + -6x + x2 + -3 + 6x + -1x2 Combine like terms: 4x2 + -1x2 = 3x2 -5 + 14x + 3x2 = 3 + -6x + x2 + -3 + 6x + -1x2 Reorder the terms: -5 + 14x + 3x2 = 3 + -3 + -6x + 6x + x2 + -1x2 Combine like terms: 3 + -3 = 0 -5 + 14x + 3x2 = 0 + -6x + 6x + x2 + -1x2 -5 + 14x + 3x2 = -6x + 6x + x2 + -1x2 Combine like terms: -6x + 6x = 0 -5 + 14x + 3x2 = 0 + x2 + -1x2 -5 + 14x + 3x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + 14x + 3x2 = 0 Factor a trinomial. (-5 + -1x)(1 + -3x) = 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 '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333Solution
x = {-5, 0.3333333333}
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