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Simplifying 60x2 + x = 10 Reorder the terms: x + 60x2 = 10 Solving x + 60x2 = 10 Solving for variable 'x'. Reorder the terms: -10 + x + 60x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + x + 60x2 = 0 Factor a trinomial. (-5 + -12x)(2 + -5x) = 0Subproblem 1
Set the factor '(-5 + -12x)' equal to zero and attempt to solve: Simplifying -5 + -12x = 0 Solving -5 + -12x = 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 + -12x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -12x = 0 + 5 -12x = 0 + 5 Combine like terms: 0 + 5 = 5 -12x = 5 Divide each side by '-12'. x = -0.4166666667 Simplifying x = -0.4166666667Subproblem 2
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Solution
x = {-0.4166666667, 0.4}
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