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Simplifying 18x2 + 10x = 4 + -11x Reorder the terms: 10x + 18x2 = 4 + -11x Solving 10x + 18x2 = 4 + -11x Solving for variable 'x'. Reorder the terms: -4 + 10x + 11x + 18x2 = 4 + -11x + -4 + 11x Combine like terms: 10x + 11x = 21x -4 + 21x + 18x2 = 4 + -11x + -4 + 11x Reorder the terms: -4 + 21x + 18x2 = 4 + -4 + -11x + 11x Combine like terms: 4 + -4 = 0 -4 + 21x + 18x2 = 0 + -11x + 11x -4 + 21x + 18x2 = -11x + 11x Combine like terms: -11x + 11x = 0 -4 + 21x + 18x2 = 0 Factor a trinomial. (-4 + -3x)(1 + -6x) = 0Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {-1.333333333, 0.1666666667}
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