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Simplifying 7x2 + -25x = -2x2 + -5x + -4 Reorder the terms: -25x + 7x2 = -2x2 + -5x + -4 Reorder the terms: -25x + 7x2 = -4 + -5x + -2x2 Solving -25x + 7x2 = -4 + -5x + -2x2 Solving for variable 'x'. Reorder the terms: 4 + -25x + 5x + 7x2 + 2x2 = -4 + -5x + -2x2 + 4 + 5x + 2x2 Combine like terms: -25x + 5x = -20x 4 + -20x + 7x2 + 2x2 = -4 + -5x + -2x2 + 4 + 5x + 2x2 Combine like terms: 7x2 + 2x2 = 9x2 4 + -20x + 9x2 = -4 + -5x + -2x2 + 4 + 5x + 2x2 Reorder the terms: 4 + -20x + 9x2 = -4 + 4 + -5x + 5x + -2x2 + 2x2 Combine like terms: -4 + 4 = 0 4 + -20x + 9x2 = 0 + -5x + 5x + -2x2 + 2x2 4 + -20x + 9x2 = -5x + 5x + -2x2 + 2x2 Combine like terms: -5x + 5x = 0 4 + -20x + 9x2 = 0 + -2x2 + 2x2 4 + -20x + 9x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 4 + -20x + 9x2 = 0 Factor a trinomial. (2 + -9x)(2 + -1x) = 0Subproblem 1
Set the factor '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 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 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0.2222222222, 2}
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