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Simplifying 10x2 + -69x + 100 = -19 Reorder the terms: 100 + -69x + 10x2 = -19 Solving 100 + -69x + 10x2 = -19 Solving for variable 'x'. Reorder the terms: 100 + 19 + -69x + 10x2 = -19 + 19 Combine like terms: 100 + 19 = 119 119 + -69x + 10x2 = -19 + 19 Combine like terms: -19 + 19 = 0 119 + -69x + 10x2 = 0 Factor a trinomial. (17 + -5x)(7 + -2x) = 0Subproblem 1
Set the factor '(17 + -5x)' equal to zero and attempt to solve: Simplifying 17 + -5x = 0 Solving 17 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5x = 0 + -17 -5x = 0 + -17 Combine like terms: 0 + -17 = -17 -5x = -17 Divide each side by '-5'. x = 3.4 Simplifying x = 3.4Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {3.4, 3.5}
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