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Simplifying 16x2 + -14x + -11 = 4 Reorder the terms: -11 + -14x + 16x2 = 4 Solving -11 + -14x + 16x2 = 4 Solving for variable 'x'. Reorder the terms: -11 + -4 + -14x + 16x2 = 4 + -4 Combine like terms: -11 + -4 = -15 -15 + -14x + 16x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -15 + -14x + 16x2 = 0 Factor a trinomial. (-5 + -8x)(3 + -2x) = 0Subproblem 1
Set the factor '(-5 + -8x)' equal to zero and attempt to solve: Simplifying -5 + -8x = 0 Solving -5 + -8x = 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 + -8x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8x = 0 + 5 -8x = 0 + 5 Combine like terms: 0 + 5 = 5 -8x = 5 Divide each side by '-8'. x = -0.625 Simplifying x = -0.625Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-0.625, 1.5}
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