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Simplifying 18x2 + 10x = -3x + 21 Reorder the terms: 10x + 18x2 = -3x + 21 Reorder the terms: 10x + 18x2 = 21 + -3x Solving 10x + 18x2 = 21 + -3x Solving for variable 'x'. Reorder the terms: -21 + 10x + 3x + 18x2 = 21 + -3x + -21 + 3x Combine like terms: 10x + 3x = 13x -21 + 13x + 18x2 = 21 + -3x + -21 + 3x Reorder the terms: -21 + 13x + 18x2 = 21 + -21 + -3x + 3x Combine like terms: 21 + -21 = 0 -21 + 13x + 18x2 = 0 + -3x + 3x -21 + 13x + 18x2 = -3x + 3x Combine like terms: -3x + 3x = 0 -21 + 13x + 18x2 = 0 Factor a trinomial. (-3 + -2x)(7 + -9x) = 0Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve: Simplifying -3 + -2x = 0 Solving -3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 0 + 3 -2x = 0 + 3 Combine like terms: 0 + 3 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5Subproblem 2
Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778Solution
x = {-1.5, 0.7777777778}
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