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Simplifying ((2x + -7) * x) + (-1x * 3) = 0 Reorder the terms: ((-7 + 2x) * x) + (-1x * 3) = 0 Reorder the terms for easier multiplication: (x(-7 + 2x)) + (-1x * 3) = 0 ((-7 * x + 2x * x)) + (-1x * 3) = 0 ((-7x + 2x2)) + (-1x * 3) = 0 (-7x + 2x2) + (-1x * 3) = 0 Remove parenthesis around (-7x + 2x2) -7x + 2x2 + (-1x * 3) = 0 Reorder the terms for easier multiplication: -7x + 2x2 + (-1 * 3x) = 0 Multiply -1 * 3 -7x + 2x2 + (-3x) = 0 Reorder the terms: -7x + (-3x) + 2x2 = 0 Combine like terms: -7x + (-3x) = -10x -10x + 2x2 = 0 Solving -10x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-5 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Solution
x = {0, 5}
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