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Simplifying x(14x + -45) = 14 Reorder the terms: x(-45 + 14x) = 14 (-45 * x + 14x * x) = 14 (-45x + 14x2) = 14 Solving -45x + 14x2 = 14 Solving for variable 'x'. Reorder the terms: -14 + -45x + 14x2 = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -45x + 14x2 = 0 Factor a trinomial. (-2 + -7x)(7 + -2x) = 0Subproblem 1
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 = -0.2857142857Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-0.2857142857, 3.5}
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