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Simplifying 100x * x + -55x + -69 = 0 Multiply x * x 100x2 + -55x + -69 = 0 Reorder the terms: -69 + -55x + 100x2 = 0 Solving -69 + -55x + 100x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -5x)(23 + -20x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(23 + -20x)' equal to zero and attempt to solve: Simplifying 23 + -20x = 0 Solving 23 + -20x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -20x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -20x = 0 + -23 -20x = 0 + -23 Combine like terms: 0 + -23 = -23 -20x = -23 Divide each side by '-20'. x = 1.15 Simplifying x = 1.15Solution
x = {-0.6, 1.15}
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