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Simplifying (5x2)(7x + -9) = 0 Remove parenthesis around (5x2) 5x2(7x + -9) = 0 Reorder the terms: 5x2(-9 + 7x) = 0 (-9 * 5x2 + 7x * 5x2) = 0 (-45x2 + 35x3) = 0 Solving -45x2 + 35x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(-9 + 7x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-9 + 7x)' equal to zero and attempt to solve: Simplifying -9 + 7x = 0 Solving -9 + 7x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 0 + 9 7x = 0 + 9 Combine like terms: 0 + 9 = 9 7x = 9 Divide each side by '7'. x = 1.285714286 Simplifying x = 1.285714286Solution
x = {0, 1.285714286}
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