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Simplifying 7x + -5(2x + 8x2) = 0 7x + (2x * -5 + 8x2 * -5) = 0 7x + (-10x + -40x2) = 0 Combine like terms: 7x + -10x = -3x -3x + -40x2 = 0 Solving -3x + -40x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(3 + 40x) = 0 Ignore the factor -1.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 '(3 + 40x)' equal to zero and attempt to solve: Simplifying 3 + 40x = 0 Solving 3 + 40x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 40x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 40x = 0 + -3 40x = 0 + -3 Combine like terms: 0 + -3 = -3 40x = -3 Divide each side by '40'. x = -0.075 Simplifying x = -0.075Solution
x = {0, -0.075}
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