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Simplifying -5 + 95x + -90x2 = 0 Solving -5 + 95x + -90x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(-1 + 19x + -18x2) = 0 Factor a trinomial. 5((-1 + x)(1 + -18x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Subproblem 2
Set the factor '(1 + -18x)' equal to zero and attempt to solve: Simplifying 1 + -18x = 0 Solving 1 + -18x = 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 + -18x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -18x = 0 + -1 -18x = 0 + -1 Combine like terms: 0 + -1 = -1 -18x = -1 Divide each side by '-18'. x = 0.05555555556 Simplifying x = 0.05555555556Solution
x = {1, 0.05555555556}
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