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Simplifying 1 = 10x2 + 9x Reorder the terms: 1 = 9x + 10x2 Solving 1 = 9x + 10x2 Solving for variable 'x'. Reorder the terms: 1 + -9x + -10x2 = 9x + -9x + 10x2 + -10x2 Combine like terms: 9x + -9x = 0 1 + -9x + -10x2 = 0 + 10x2 + -10x2 1 + -9x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 1 + -9x + -10x2 = 0 Factor a trinomial. (1 + -10x)(1 + x) = 0Subproblem 1
Set the factor '(1 + -10x)' equal to zero and attempt to solve: Simplifying 1 + -10x = 0 Solving 1 + -10x = 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 + -10x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 0 + -1 -10x = 0 + -1 Combine like terms: 0 + -1 = -1 -10x = -1 Divide each side by '-10'. x = 0.1 Simplifying x = 0.1Subproblem 2
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 = -1Solution
x = {0.1, -1}
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