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Simplifying 7x(4x + 1) = 4x + -8x Reorder the terms: 7x(1 + 4x) = 4x + -8x (1 * 7x + 4x * 7x) = 4x + -8x (7x + 28x2) = 4x + -8x Combine like terms: 4x + -8x = -4x 7x + 28x2 = -4x Solving 7x + 28x2 = -4x Solving for variable 'x'. Reorder the terms: 7x + 4x + 28x2 = -4x + 4x Combine like terms: 7x + 4x = 11x 11x + 28x2 = -4x + 4x Combine like terms: -4x + 4x = 0 11x + 28x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(11 + 28x) = 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 '(11 + 28x)' equal to zero and attempt to solve: Simplifying 11 + 28x = 0 Solving 11 + 28x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 28x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 28x = 0 + -11 28x = 0 + -11 Combine like terms: 0 + -11 = -11 28x = -11 Divide each side by '28'. x = -0.3928571429 Simplifying x = -0.3928571429Solution
x = {0, -0.3928571429}
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