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Simplifying (3x + -7)(21x + 5x) = 0 Reorder the terms: (-7 + 3x)(21x + 5x) = 0 Combine like terms: 21x + 5x = 26x (-7 + 3x)(26x) = 0 Remove parenthesis around (26x) (-7 + 3x) * 26x = 0 Reorder the terms for easier multiplication: 26x(-7 + 3x) = 0 (-7 * 26x + 3x * 26x) = 0 (-182x + 78x2) = 0 Solving -182x + 78x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '26x'. 26x(-7 + 3x) = 0 Ignore the factor 26.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 '(-7 + 3x)' equal to zero and attempt to solve: Simplifying -7 + 3x = 0 Solving -7 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 0 + 7 3x = 0 + 7 Combine like terms: 0 + 7 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {0, 2.333333333}
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