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Simplifying 7x + -1(25x2 + 12x) = 0 Reorder the terms: 7x + -1(12x + 25x2) = 0 7x + (12x * -1 + 25x2 * -1) = 0 7x + (-12x + -25x2) = 0 Combine like terms: 7x + -12x = -5x -5x + -25x2 = 0 Solving -5x + -25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-5x'. -5x(1 + 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 '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {0, -0.2}
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