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Simplifying 10x2 + -42x = 0 Reorder the terms: -42x + 10x2 = 0 Solving -42x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-21 + 5x) = 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 + 5x)' equal to zero and attempt to solve: Simplifying -21 + 5x = 0 Solving -21 + 5x = 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 + 5x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = 0 + 21 5x = 0 + 21 Combine like terms: 0 + 21 = 21 5x = 21 Divide each side by '5'. x = 4.2 Simplifying x = 4.2Solution
x = {0, 4.2}
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