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Simplifying (7x + -4)(2x + 7) = 0 Reorder the terms: (-4 + 7x)(2x + 7) = 0 Reorder the terms: (-4 + 7x)(7 + 2x) = 0 Multiply (-4 + 7x) * (7 + 2x) (-4(7 + 2x) + 7x * (7 + 2x)) = 0 ((7 * -4 + 2x * -4) + 7x * (7 + 2x)) = 0 ((-28 + -8x) + 7x * (7 + 2x)) = 0 (-28 + -8x + (7 * 7x + 2x * 7x)) = 0 (-28 + -8x + (49x + 14x2)) = 0 Combine like terms: -8x + 49x = 41x (-28 + 41x + 14x2) = 0 Solving -28 + 41x + 14x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -2x)(4 + -7x) = 0Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5Subproblem 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 = {-3.5, 0.5714285714}
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