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Simplifying (5x + 4)(7x + -5x + -1) = 0 Reorder the terms: (4 + 5x)(7x + -5x + -1) = 0 Reorder the terms: (4 + 5x)(-1 + 7x + -5x) = 0 Combine like terms: 7x + -5x = 2x (4 + 5x)(-1 + 2x) = 0 Multiply (4 + 5x) * (-1 + 2x) (4(-1 + 2x) + 5x * (-1 + 2x)) = 0 ((-1 * 4 + 2x * 4) + 5x * (-1 + 2x)) = 0 ((-4 + 8x) + 5x * (-1 + 2x)) = 0 (-4 + 8x + (-1 * 5x + 2x * 5x)) = 0 (-4 + 8x + (-5x + 10x2)) = 0 Combine like terms: 8x + -5x = 3x (-4 + 3x + 10x2) = 0 Solving -4 + 3x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -5x)(1 + -2x) = 0Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8Subproblem 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 = {-0.8, 0.5}
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