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Simplifying 3 + -1x(4x + -10) = 3 Reorder the terms: 3 + -1x(-10 + 4x) = 3 3 + (-10 * -1x + 4x * -1x) = 3 3 + (10x + -4x2) = 3 Add '-3' to each side of the equation. 3 + 10x + -3 + -4x2 = 3 + -3 Reorder the terms: 3 + -3 + 10x + -4x2 = 3 + -3 Combine like terms: 3 + -3 = 0 0 + 10x + -4x2 = 3 + -3 10x + -4x2 = 3 + -3 Combine like terms: 3 + -3 = 0 10x + -4x2 = 0 Solving 10x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(5 + -2x) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
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 = 2.5Solution
x = {0, 2.5}
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