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Simplifying x(9x + 18) = 4x2 + -6x + 5 Reorder the terms: x(18 + 9x) = 4x2 + -6x + 5 (18 * x + 9x * x) = 4x2 + -6x + 5 (18x + 9x2) = 4x2 + -6x + 5 Reorder the terms: 18x + 9x2 = 5 + -6x + 4x2 Solving 18x + 9x2 = 5 + -6x + 4x2 Solving for variable 'x'. Reorder the terms: -5 + 18x + 6x + 9x2 + -4x2 = 5 + -6x + 4x2 + -5 + 6x + -4x2 Combine like terms: 18x + 6x = 24x -5 + 24x + 9x2 + -4x2 = 5 + -6x + 4x2 + -5 + 6x + -4x2 Combine like terms: 9x2 + -4x2 = 5x2 -5 + 24x + 5x2 = 5 + -6x + 4x2 + -5 + 6x + -4x2 Reorder the terms: -5 + 24x + 5x2 = 5 + -5 + -6x + 6x + 4x2 + -4x2 Combine like terms: 5 + -5 = 0 -5 + 24x + 5x2 = 0 + -6x + 6x + 4x2 + -4x2 -5 + 24x + 5x2 = -6x + 6x + 4x2 + -4x2 Combine like terms: -6x + 6x = 0 -5 + 24x + 5x2 = 0 + 4x2 + -4x2 -5 + 24x + 5x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -5 + 24x + 5x2 = 0 Factor a trinomial. (-5 + -1x)(1 + -5x) = 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 + -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 = {-5, 0.2}
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