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Simplifying 5x + -10 = 7x(x + -2) Reorder the terms: -10 + 5x = 7x(x + -2) Reorder the terms: -10 + 5x = 7x(-2 + x) -10 + 5x = (-2 * 7x + x * 7x) -10 + 5x = (-14x + 7x2) Solving -10 + 5x = -14x + 7x2 Solving for variable 'x'. Combine like terms: 5x + 14x = 19x -10 + 19x + -7x2 = -14x + 7x2 + 14x + -7x2 Reorder the terms: -10 + 19x + -7x2 = -14x + 14x + 7x2 + -7x2 Combine like terms: -14x + 14x = 0 -10 + 19x + -7x2 = 0 + 7x2 + -7x2 -10 + 19x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 -10 + 19x + -7x2 = 0 Factor a trinomial. (-2 + x)(5 + -7x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(5 + -7x)' equal to zero and attempt to solve: Simplifying 5 + -7x = 0 Solving 5 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x = 0 + -5 -7x = 0 + -5 Combine like terms: 0 + -5 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143Solution
x = {2, 0.7142857143}
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