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Simplifying (7x + -2)(4x + 7) = 0 Reorder the terms: (-2 + 7x)(4x + 7) = 0 Reorder the terms: (-2 + 7x)(7 + 4x) = 0 Multiply (-2 + 7x) * (7 + 4x) (-2(7 + 4x) + 7x * (7 + 4x)) = 0 ((7 * -2 + 4x * -2) + 7x * (7 + 4x)) = 0 ((-14 + -8x) + 7x * (7 + 4x)) = 0 (-14 + -8x + (7 * 7x + 4x * 7x)) = 0 (-14 + -8x + (49x + 28x2)) = 0 Combine like terms: -8x + 49x = 41x (-14 + 41x + 28x2) = 0 Solving -14 + 41x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -4x)(2 + -7x) = 0Subproblem 1
Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 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 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {-1.75, 0.2857142857}
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