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Simplifying 100x2 + -120x + 36 = 25 Reorder the terms: 36 + -120x + 100x2 = 25 Solving 36 + -120x + 100x2 = 25 Solving for variable 'x'. Reorder the terms: 36 + -25 + -120x + 100x2 = 25 + -25 Combine like terms: 36 + -25 = 11 11 + -120x + 100x2 = 25 + -25 Combine like terms: 25 + -25 = 0 11 + -120x + 100x2 = 0 Factor a trinomial. (1 + -10x)(11 + -10x) = 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 '(11 + -10x)' equal to zero and attempt to solve: Simplifying 11 + -10x = 0 Solving 11 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -10x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -10x = 0 + -11 -10x = 0 + -11 Combine like terms: 0 + -11 = -11 -10x = -11 Divide each side by '-10'. x = 1.1 Simplifying x = 1.1Solution
x = {0.1, 1.1}
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