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Simplifying 128x2 + 18x + -41 = 0 Reorder the terms: -41 + 18x + 128x2 = 0 Solving -41 + 18x + 128x2 = 0 Solving for variable 'x'. Factor a trinomial. (-41 + -64x)(1 + -2x) = 0Subproblem 1
Set the factor '(-41 + -64x)' equal to zero and attempt to solve: Simplifying -41 + -64x = 0 Solving -41 + -64x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -64x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + -64x = 0 + 41 -64x = 0 + 41 Combine like terms: 0 + 41 = 41 -64x = 41 Divide each side by '-64'. x = -0.640625 Simplifying x = -0.640625Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-0.640625, 0.5}
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