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Simplifying 9x2 + -6x + 1 = 4x2 + 12x + 9 Reorder the terms: 1 + -6x + 9x2 = 4x2 + 12x + 9 Reorder the terms: 1 + -6x + 9x2 = 9 + 12x + 4x2 Solving 1 + -6x + 9x2 = 9 + 12x + 4x2 Solving for variable 'x'. Reorder the terms: 1 + -9 + -6x + -12x + 9x2 + -4x2 = 9 + 12x + 4x2 + -9 + -12x + -4x2 Combine like terms: 1 + -9 = -8 -8 + -6x + -12x + 9x2 + -4x2 = 9 + 12x + 4x2 + -9 + -12x + -4x2 Combine like terms: -6x + -12x = -18x -8 + -18x + 9x2 + -4x2 = 9 + 12x + 4x2 + -9 + -12x + -4x2 Combine like terms: 9x2 + -4x2 = 5x2 -8 + -18x + 5x2 = 9 + 12x + 4x2 + -9 + -12x + -4x2 Reorder the terms: -8 + -18x + 5x2 = 9 + -9 + 12x + -12x + 4x2 + -4x2 Combine like terms: 9 + -9 = 0 -8 + -18x + 5x2 = 0 + 12x + -12x + 4x2 + -4x2 -8 + -18x + 5x2 = 12x + -12x + 4x2 + -4x2 Combine like terms: 12x + -12x = 0 -8 + -18x + 5x2 = 0 + 4x2 + -4x2 -8 + -18x + 5x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8 + -18x + 5x2 = 0 Factor a trinomial. (-2 + -5x)(4 + -1x) = 0Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-0.4, 4}
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