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Simplifying -3x + -1 = 5x2 + -9x Reorder the terms: -1 + -3x = 5x2 + -9x Reorder the terms: -1 + -3x = -9x + 5x2 Solving -1 + -3x = -9x + 5x2 Solving for variable 'x'. Combine like terms: -3x + 9x = 6x -1 + 6x + -5x2 = -9x + 5x2 + 9x + -5x2 Reorder the terms: -1 + 6x + -5x2 = -9x + 9x + 5x2 + -5x2 Combine like terms: -9x + 9x = 0 -1 + 6x + -5x2 = 0 + 5x2 + -5x2 -1 + 6x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -1 + 6x + -5x2 = 0 Factor a trinomial. (-1 + x)(1 + -5x) = 0Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {1, 0.2}
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