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Simplifying 56x2 + 3x = 110 Reorder the terms: 3x + 56x2 = 110 Solving 3x + 56x2 = 110 Solving for variable 'x'. Reorder the terms: -110 + 3x + 56x2 = 110 + -110 Combine like terms: 110 + -110 = 0 -110 + 3x + 56x2 = 0 Factor a trinomial. (-10 + -7x)(11 + -8x) = 0Subproblem 1
Set the factor '(-10 + -7x)' equal to zero and attempt to solve: Simplifying -10 + -7x = 0 Solving -10 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -7x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = 0 + 10 -7x = 0 + 10 Combine like terms: 0 + 10 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429Subproblem 2
Set the factor '(11 + -8x)' equal to zero and attempt to solve: Simplifying 11 + -8x = 0 Solving 11 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -8x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -8x = 0 + -11 -8x = 0 + -11 Combine like terms: 0 + -11 = -11 -8x = -11 Divide each side by '-8'. x = 1.375 Simplifying x = 1.375Solution
x = {-1.428571429, 1.375}
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