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Simplifying 0 = 9x2 + -100x + 100 Reorder the terms: 0 = 100 + -100x + 9x2 Solving 0 = 100 + -100x + 9x2 Solving for variable 'x'. Combine like terms: 0 + -100 = -100 -100 + 100x + -9x2 = 100 + -100x + 9x2 + -100 + 100x + -9x2 Reorder the terms: -100 + 100x + -9x2 = 100 + -100 + -100x + 100x + 9x2 + -9x2 Combine like terms: 100 + -100 = 0 -100 + 100x + -9x2 = 0 + -100x + 100x + 9x2 + -9x2 -100 + 100x + -9x2 = -100x + 100x + 9x2 + -9x2 Combine like terms: -100x + 100x = 0 -100 + 100x + -9x2 = 0 + 9x2 + -9x2 -100 + 100x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -100 + 100x + -9x2 = 0 Factor a trinomial. (-10 + x)(10 + -9x) = 0Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 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 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Subproblem 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 = {10, 1.111111111}
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