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Simplifying 6x + -4(x + -2) * x = 10 Reorder the terms: 6x + -4(-2 + x) * x = 10 Reorder the terms for easier multiplication: 6x + -4x(-2 + x) = 10 6x + (-2 * -4x + x * -4x) = 10 6x + (8x + -4x2) = 10 Combine like terms: 6x + 8x = 14x 14x + -4x2 = 10 Solving 14x + -4x2 = 10 Solving for variable 'x'. Reorder the terms: -10 + 14x + -4x2 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + 14x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 7x + -2x2) = 0 Factor a trinomial. 2((-5 + 2x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 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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