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Simplifying 4x2 = 36x + 40 Reorder the terms: 4x2 = 40 + 36x Solving 4x2 = 40 + 36x Solving for variable 'x'. Reorder the terms: -40 + -36x + 4x2 = 40 + 36x + -40 + -36x Reorder the terms: -40 + -36x + 4x2 = 40 + -40 + 36x + -36x Combine like terms: 40 + -40 = 0 -40 + -36x + 4x2 = 0 + 36x + -36x -40 + -36x + 4x2 = 36x + -36x Combine like terms: 36x + -36x = 0 -40 + -36x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-10 + -9x + x2) = 0 Factor a trinomial. 4((-1 + -1x)(10 + -1x)) = 0 Ignore the factor 4.Subproblem 1
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 = -1Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-1, 10}
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