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Simplifying 2x + -1(5x2 + -7x) + 7x = 0 Reorder the terms: 2x + -1(-7x + 5x2) + 7x = 0 2x + (-7x * -1 + 5x2 * -1) + 7x = 0 2x + (7x + -5x2) + 7x = 0 Reorder the terms: 2x + 7x + 7x + -5x2 = 0 Combine like terms: 2x + 7x = 9x 9x + 7x + -5x2 = 0 Combine like terms: 9x + 7x = 16x 16x + -5x2 = 0 Solving 16x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(16 + -5x) = 0Subproblem 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 '(16 + -5x)' equal to zero and attempt to solve: Simplifying 16 + -5x = 0 Solving 16 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -5x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -5x = 0 + -16 -5x = 0 + -16 Combine like terms: 0 + -16 = -16 -5x = -16 Divide each side by '-5'. x = 3.2 Simplifying x = 3.2Solution
x = {0, 3.2}
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