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Simplifying 108x2 = 10 + 21x Solving 108x2 = 10 + 21x Solving for variable 'x'. Reorder the terms: -10 + -21x + 108x2 = 10 + 21x + -10 + -21x Reorder the terms: -10 + -21x + 108x2 = 10 + -10 + 21x + -21x Combine like terms: 10 + -10 = 0 -10 + -21x + 108x2 = 0 + 21x + -21x -10 + -21x + 108x2 = 21x + -21x Combine like terms: 21x + -21x = 0 -10 + -21x + 108x2 = 0 Factor a trinomial. (-2 + -9x)(5 + -12x) = 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 '(5 + -12x)' equal to zero and attempt to solve: Simplifying 5 + -12x = 0 Solving 5 + -12x = 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 + -12x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -12x = 0 + -5 -12x = 0 + -5 Combine like terms: 0 + -5 = -5 -12x = -5 Divide each side by '-12'. x = 0.4166666667 Simplifying x = 0.4166666667Solution
x = {-0.2222222222, 0.4166666667}
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