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Simplifying 71x = 5x2 + 14 Reorder the terms: 71x = 14 + 5x2 Solving 71x = 14 + 5x2 Solving for variable 'x'. Reorder the terms: -14 + 71x + -5x2 = 14 + 5x2 + -14 + -5x2 Reorder the terms: -14 + 71x + -5x2 = 14 + -14 + 5x2 + -5x2 Combine like terms: 14 + -14 = 0 -14 + 71x + -5x2 = 0 + 5x2 + -5x2 -14 + 71x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -14 + 71x + -5x2 = 0 Factor a trinomial. (-14 + x)(1 + -5x) = 0Subproblem 1
Set the factor '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Simplifying x = 14Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {14, 0.2}
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