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Simplifying 10x2 + -19x + -11 = 4 Reorder the terms: -11 + -19x + 10x2 = 4 Solving -11 + -19x + 10x2 = 4 Solving for variable 'x'. Reorder the terms: -11 + -4 + -19x + 10x2 = 4 + -4 Combine like terms: -11 + -4 = -15 -15 + -19x + 10x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -15 + -19x + 10x2 = 0 Factor a trinomial. (-3 + -5x)(5 + -2x) = 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 '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-0.6, 2.5}
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