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Simplifying 60x2 + 60x + -10 = 55x2 + 61x + -6 Reorder the terms: -10 + 60x + 60x2 = 55x2 + 61x + -6 Reorder the terms: -10 + 60x + 60x2 = -6 + 61x + 55x2 Solving -10 + 60x + 60x2 = -6 + 61x + 55x2 Solving for variable 'x'. Reorder the terms: -10 + 6 + 60x + -61x + 60x2 + -55x2 = -6 + 61x + 55x2 + 6 + -61x + -55x2 Combine like terms: -10 + 6 = -4 -4 + 60x + -61x + 60x2 + -55x2 = -6 + 61x + 55x2 + 6 + -61x + -55x2 Combine like terms: 60x + -61x = -1x -4 + -1x + 60x2 + -55x2 = -6 + 61x + 55x2 + 6 + -61x + -55x2 Combine like terms: 60x2 + -55x2 = 5x2 -4 + -1x + 5x2 = -6 + 61x + 55x2 + 6 + -61x + -55x2 Reorder the terms: -4 + -1x + 5x2 = -6 + 6 + 61x + -61x + 55x2 + -55x2 Combine like terms: -6 + 6 = 0 -4 + -1x + 5x2 = 0 + 61x + -61x + 55x2 + -55x2 -4 + -1x + 5x2 = 61x + -61x + 55x2 + -55x2 Combine like terms: 61x + -61x = 0 -4 + -1x + 5x2 = 0 + 55x2 + -55x2 -4 + -1x + 5x2 = 55x2 + -55x2 Combine like terms: 55x2 + -55x2 = 0 -4 + -1x + 5x2 = 0 Factor a trinomial. (-4 + -5x)(1 + -1x) = 0Subproblem 1
Set the factor '(-4 + -5x)' equal to zero and attempt to solve: Simplifying -4 + -5x = 0 Solving -4 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 0 + 4 -5x = 0 + 4 Combine like terms: 0 + 4 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8Subproblem 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 = {-0.8, 1}
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