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Simplifying 7U2 + -10U + -8 = 0 Reorder the terms: -8 + -10U + 7U2 = 0 Solving -8 + -10U + 7U2 = 0 Solving for variable 'U'. Factor a trinomial. (-4 + -7U)(2 + -1U) = 0Subproblem 1
Set the factor '(-4 + -7U)' equal to zero and attempt to solve: Simplifying -4 + -7U = 0 Solving -4 + -7U = 0 Move all terms containing U to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7U = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7U = 0 + 4 -7U = 0 + 4 Combine like terms: 0 + 4 = 4 -7U = 4 Divide each side by '-7'. U = -0.5714285714 Simplifying U = -0.5714285714Subproblem 2
Set the factor '(2 + -1U)' equal to zero and attempt to solve: Simplifying 2 + -1U = 0 Solving 2 + -1U = 0 Move all terms containing U to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1U = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1U = 0 + -2 -1U = 0 + -2 Combine like terms: 0 + -2 = -2 -1U = -2 Divide each side by '-1'. U = 2 Simplifying U = 2Solution
U = {-0.5714285714, 2}
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