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Simplifying 0 = 6x(7 + 5x) 0 = (7 * 6x + 5x * 6x) 0 = (42x + 30x2) Solving 0 = 42x + 30x2 Solving for variable 'x'. Remove the zero: -42x + -30x2 = 42x + 30x2 + -42x + -30x2 Reorder the terms: -42x + -30x2 = 42x + -42x + 30x2 + -30x2 Combine like terms: 42x + -42x = 0 -42x + -30x2 = 0 + 30x2 + -30x2 -42x + -30x2 = 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 -42x + -30x2 = 0 Factor out the Greatest Common Factor (GCF), '-6x'. -6x(7 + 5x) = 0 Ignore the factor -6.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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