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Simplifying 43(x + 2x2) = -7(4x + -3x2) (x * 43 + 2x2 * 43) = -7(4x + -3x2) (43x + 86x2) = -7(4x + -3x2) 43x + 86x2 = (4x * -7 + -3x2 * -7) 43x + 86x2 = (-28x + 21x2) Solving 43x + 86x2 = -28x + 21x2 Solving for variable 'x'. Reorder the terms: 43x + 28x + 86x2 + -21x2 = -28x + 21x2 + 28x + -21x2 Combine like terms: 43x + 28x = 71x 71x + 86x2 + -21x2 = -28x + 21x2 + 28x + -21x2 Combine like terms: 86x2 + -21x2 = 65x2 71x + 65x2 = -28x + 21x2 + 28x + -21x2 Reorder the terms: 71x + 65x2 = -28x + 28x + 21x2 + -21x2 Combine like terms: -28x + 28x = 0 71x + 65x2 = 0 + 21x2 + -21x2 71x + 65x2 = 21x2 + -21x2 Combine like terms: 21x2 + -21x2 = 0 71x + 65x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(71 + 65x) = 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 '(71 + 65x)' equal to zero and attempt to solve: Simplifying 71 + 65x = 0 Solving 71 + 65x = 0 Move all terms containing x to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + 65x = 0 + -71 Combine like terms: 71 + -71 = 0 0 + 65x = 0 + -71 65x = 0 + -71 Combine like terms: 0 + -71 = -71 65x = -71 Divide each side by '65'. x = -1.092307692 Simplifying x = -1.092307692Solution
x = {0, -1.092307692}
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