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Simplifying 7x2 = 15x + x2 Solving 7x2 = 15x + x2 Solving for variable 'x'. Reorder the terms: -15x + 7x2 + -1x2 = 15x + x2 + -15x + -1x2 Combine like terms: 7x2 + -1x2 = 6x2 -15x + 6x2 = 15x + x2 + -15x + -1x2 Reorder the terms: -15x + 6x2 = 15x + -15x + x2 + -1x2 Combine like terms: 15x + -15x = 0 -15x + 6x2 = 0 + x2 + -1x2 -15x + 6x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-5 + 2x) = 0 Ignore the factor 3.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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