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Simplifying 2x + -1(3x2 + -7x) + 7x2 = 0 Reorder the terms: 2x + -1(-7x + 3x2) + 7x2 = 0 2x + (-7x * -1 + 3x2 * -1) + 7x2 = 0 2x + (7x + -3x2) + 7x2 = 0 Combine like terms: 2x + 7x = 9x 9x + -3x2 + 7x2 = 0 Combine like terms: -3x2 + 7x2 = 4x2 9x + 4x2 = 0 Solving 9x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(9 + 4x) = 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 '(9 + 4x)' equal to zero and attempt to solve: Simplifying 9 + 4x = 0 Solving 9 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x = 0 + -9 4x = 0 + -9 Combine like terms: 0 + -9 = -9 4x = -9 Divide each side by '4'. x = -2.25 Simplifying x = -2.25Solution
x = {0, -2.25}
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