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Simplifying 0 = -1(14x2 + 19x + -40) Reorder the terms: 0 = -1(-40 + 19x + 14x2) 0 = (-40 * -1 + 19x * -1 + 14x2 * -1) 0 = (40 + -19x + -14x2) Solving 0 = 40 + -19x + -14x2 Solving for variable 'x'. Combine like terms: 0 + -40 = -40 -40 + 19x + 14x2 = 40 + -19x + -14x2 + -40 + 19x + 14x2 Reorder the terms: -40 + 19x + 14x2 = 40 + -40 + -19x + 19x + -14x2 + 14x2 Combine like terms: 40 + -40 = 0 -40 + 19x + 14x2 = 0 + -19x + 19x + -14x2 + 14x2 -40 + 19x + 14x2 = -19x + 19x + -14x2 + 14x2 Combine like terms: -19x + 19x = 0 -40 + 19x + 14x2 = 0 + -14x2 + 14x2 -40 + 19x + 14x2 = -14x2 + 14x2 Combine like terms: -14x2 + 14x2 = 0 -40 + 19x + 14x2 = 0 Factor a trinomial. (-5 + -2x)(8 + -7x) = 0Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 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 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {-2.5, 1.142857143}
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