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Simplifying 3x + -1(2x2 + -4x + 5) = 0 Reorder the terms: 3x + -1(5 + -4x + 2x2) = 0 3x + (5 * -1 + -4x * -1 + 2x2 * -1) = 0 3x + (-5 + 4x + -2x2) = 0 Reorder the terms: -5 + 3x + 4x + -2x2 = 0 Combine like terms: 3x + 4x = 7x -5 + 7x + -2x2 = 0 Solving -5 + 7x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + 2x)(1 + -1x) = 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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {2.5, 1}
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