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Simplifying 5x2 + 19x + -73 = -7 Reorder the terms: -73 + 19x + 5x2 = -7 Solving -73 + 19x + 5x2 = -7 Solving for variable 'x'. Reorder the terms: -73 + 7 + 19x + 5x2 = -7 + 7 Combine like terms: -73 + 7 = -66 -66 + 19x + 5x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -66 + 19x + 5x2 = 0 Factor a trinomial. (-6 + -1x)(11 + -5x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(11 + -5x)' equal to zero and attempt to solve: Simplifying 11 + -5x = 0 Solving 11 + -5x = 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 + -5x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5x = 0 + -11 -5x = 0 + -11 Combine like terms: 0 + -11 = -11 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2Solution
x = {-6, 2.2}
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