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Simplifying (7x + 8)(4x + -7) = 0 Reorder the terms: (8 + 7x)(4x + -7) = 0 Reorder the terms: (8 + 7x)(-7 + 4x) = 0 Multiply (8 + 7x) * (-7 + 4x) (8(-7 + 4x) + 7x * (-7 + 4x)) = 0 ((-7 * 8 + 4x * 8) + 7x * (-7 + 4x)) = 0 ((-56 + 32x) + 7x * (-7 + 4x)) = 0 (-56 + 32x + (-7 * 7x + 4x * 7x)) = 0 (-56 + 32x + (-49x + 28x2)) = 0 Combine like terms: 32x + -49x = -17x (-56 + -17x + 28x2) = 0 Solving -56 + -17x + 28x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -7x)(7 + -4x) = 0Subproblem 1
Set the factor '(-8 + -7x)' equal to zero and attempt to solve: Simplifying -8 + -7x = 0 Solving -8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 0 + 8 -7x = 0 + 8 Combine like terms: 0 + 8 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143Subproblem 2
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 = 1.75Solution
x = {-1.142857143, 1.75}
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