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Simplifying (18x2 + 0x + -2) + -1(30x + 10) = 0 Anything times zero is zero. (18x2 + 0x + -2) + -1(30x + 10) = 0 Reorder the terms: (0 + -2 + 18x2) + -1(30x + 10) = 0 Combine like terms: 0 + -2 = -2 (-2 + 18x2) + -1(30x + 10) = 0 Remove parenthesis around (-2 + 18x2) -2 + 18x2 + -1(30x + 10) = 0 Reorder the terms: -2 + 18x2 + -1(10 + 30x) = 0 -2 + 18x2 + (10 * -1 + 30x * -1) = 0 -2 + 18x2 + (-10 + -30x) = 0 Reorder the terms: -2 + -10 + -30x + 18x2 = 0 Combine like terms: -2 + -10 = -12 -12 + -30x + 18x2 = 0 Solving -12 + -30x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + -5x + 3x2) = 0 Factor a trinomial. 6((-1 + -3x)(2 + -1x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 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 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.3333333333, 2}
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