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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. (-1 + -1x)(4 + -7x) = 0Subproblem 1
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 = -1Subproblem 2
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 = 0.5714285714Solution
x = {-1, 0.5714285714}
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