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Simplifying 4x2 + -28x = 2x2 + 14x Reorder the terms: -28x + 4x2 = 2x2 + 14x Reorder the terms: -28x + 4x2 = 14x + 2x2 Solving -28x + 4x2 = 14x + 2x2 Solving for variable 'x'. Reorder the terms: -28x + -14x + 4x2 + -2x2 = 14x + 2x2 + -14x + -2x2 Combine like terms: -28x + -14x = -42x -42x + 4x2 + -2x2 = 14x + 2x2 + -14x + -2x2 Combine like terms: 4x2 + -2x2 = 2x2 -42x + 2x2 = 14x + 2x2 + -14x + -2x2 Reorder the terms: -42x + 2x2 = 14x + -14x + 2x2 + -2x2 Combine like terms: 14x + -14x = 0 -42x + 2x2 = 0 + 2x2 + -2x2 -42x + 2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -42x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-21 + 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 '(-21 + x)' equal to zero and attempt to solve: Simplifying -21 + x = 0 Solving -21 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + x = 0 + 21 x = 0 + 21 Combine like terms: 0 + 21 = 21 x = 21 Simplifying x = 21Solution
x = {0, 21}
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