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Simplifying 18x2 + -22x = 28 Reorder the terms: -22x + 18x2 = 28 Solving -22x + 18x2 = 28 Solving for variable 'x'. Reorder the terms: -28 + -22x + 18x2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + -22x + 18x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + -11x + 9x2) = 0 Factor a trinomial. 2((-7 + -9x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -0.7777777778Subproblem 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 = {-0.7777777778, 2}
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