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Simplifying (5x)(5x) + -35x = 0 Remove parenthesis around (5x) 5x(5x) + -35x = 0 Remove parenthesis around (5x) 5x * 5x + -35x = 0 Reorder the terms for easier multiplication: 5 * 5x * x + -35x = 0 Multiply 5 * 5 25x * x + -35x = 0 Multiply x * x 25x2 + -35x = 0 Reorder the terms: -35x + 25x2 = 0 Solving -35x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(-7 + 5x) = 0 Ignore the factor 5.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 + 5x)' equal to zero and attempt to solve: Simplifying -7 + 5x = 0 Solving -7 + 5x = 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 + 5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5x = 0 + 7 5x = 0 + 7 Combine like terms: 0 + 7 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4Solution
x = {0, 1.4}
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