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Simplifying (7x + 4)(x + -1) = 0 Reorder the terms: (4 + 7x)(x + -1) = 0 Reorder the terms: (4 + 7x)(-1 + x) = 0 Multiply (4 + 7x) * (-1 + x) (4(-1 + x) + 7x * (-1 + x)) = 0 ((-1 * 4 + x * 4) + 7x * (-1 + x)) = 0 ((-4 + 4x) + 7x * (-1 + x)) = 0 (-4 + 4x + (-1 * 7x + x * 7x)) = 0 (-4 + 4x + (-7x + 7x2)) = 0 Combine like terms: 4x + -7x = -3x (-4 + -3x + 7x2) = 0 Solving -4 + -3x + 7x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -7x)(1 + -1x) = 0Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 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 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.5714285714, 1}
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