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Simplifying 19x2 + -48x = 27 Reorder the terms: -48x + 19x2 = 27 Solving -48x + 19x2 = 27 Solving for variable 'x'. Reorder the terms: -27 + -48x + 19x2 = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + -48x + 19x2 = 0 Factor a trinomial. (-9 + -19x)(3 + -1x) = 0Subproblem 1
Set the factor '(-9 + -19x)' equal to zero and attempt to solve: Simplifying -9 + -19x = 0 Solving -9 + -19x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -19x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -19x = 0 + 9 -19x = 0 + 9 Combine like terms: 0 + 9 = 9 -19x = 9 Divide each side by '-19'. x = -0.4736842105 Simplifying x = -0.4736842105Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.4736842105, 3}
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