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Simplifying 7x(x + -3) = 6x2 + -7x Reorder the terms: 7x(-3 + x) = 6x2 + -7x (-3 * 7x + x * 7x) = 6x2 + -7x (-21x + 7x2) = 6x2 + -7x Reorder the terms: -21x + 7x2 = -7x + 6x2 Solving -21x + 7x2 = -7x + 6x2 Solving for variable 'x'. Reorder the terms: -21x + 7x + 7x2 + -6x2 = -7x + 6x2 + 7x + -6x2 Combine like terms: -21x + 7x = -14x -14x + 7x2 + -6x2 = -7x + 6x2 + 7x + -6x2 Combine like terms: 7x2 + -6x2 = 1x2 -14x + 1x2 = -7x + 6x2 + 7x + -6x2 Reorder the terms: -14x + 1x2 = -7x + 7x + 6x2 + -6x2 Combine like terms: -7x + 7x = 0 -14x + 1x2 = 0 + 6x2 + -6x2 -14x + 1x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -14x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-14 + x) = 0Subproblem 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 '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Simplifying x = 14Solution
x = {0, 14}
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