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Simplifying (4x2) + -23x = (-5x2) + -7x + -7 Reorder the terms: -23x + (4x2) = (-5x2) + -7x + -7 Reorder the terms: -23x + (4x2) = -7 + -7x + (-5x2) Solving -23x + (4x2) = -7 + -7x + (-5x2) Solving for variable 'x'. Reorder the terms: 7 + -23x + 7x + (4x2) + (5x2) = -7 + -7x + (-5x2) + 7 + 7x + (5x2) Combine like terms: -23x + 7x = -16x 7 + -16x + (4x2) + (5x2) = -7 + -7x + (-5x2) + 7 + 7x + (5x2) Combine like terms: (4x2) + (5x2) = 9x2 7 + -16x + 9x2 = -7 + -7x + (-5x2) + 7 + 7x + (5x2) Reorder the terms: 7 + -16x + 9x2 = -7 + 7 + -7x + 7x + (-5x2) + (5x2) Combine like terms: -7 + 7 = 0 7 + -16x + 9x2 = 0 + -7x + 7x + (-5x2) + (5x2) 7 + -16x + 9x2 = -7x + 7x + (-5x2) + (5x2) Combine like terms: -7x + 7x = 0 7 + -16x + 9x2 = 0 + (-5x2) + (5x2) 7 + -16x + 9x2 = (-5x2) + (5x2) Combine like terms: (-5x2) + (5x2) = 0 7 + -16x + 9x2 = 0 Factor a trinomial. (7 + -9x)(1 + -1x) = 0Subproblem 1
Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 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 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778Subproblem 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 = {0.7777777778, 1}
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