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Simplifying 90x2 + -19x = 90 Reorder the terms: -19x + 90x2 = 90 Solving -19x + 90x2 = 90 Solving for variable 'x'. Reorder the terms: -90 + -19x + 90x2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + -19x + 90x2 = 0 Factor a trinomial. (-9 + -10x)(10 + -9x) = 0Subproblem 1
Set the factor '(-9 + -10x)' equal to zero and attempt to solve: Simplifying -9 + -10x = 0 Solving -9 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -10x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = 0 + 9 -10x = 0 + 9 Combine like terms: 0 + 9 = 9 -10x = 9 Divide each side by '-10'. x = -0.9 Simplifying x = -0.9Subproblem 2
Set the factor '(10 + -9x)' equal to zero and attempt to solve: Simplifying 10 + -9x = 0 Solving 10 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -9x = 0 + -10 -9x = 0 + -10 Combine like terms: 0 + -10 = -10 -9x = -10 Divide each side by '-9'. x = 1.111111111 Simplifying x = 1.111111111Solution
x = {-0.9, 1.111111111}
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