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Simplifying 7x + -4(8x) = 5x(11x) Remove parenthesis around (8x) 7x + -4 * 8x = 5x(11x) Multiply -4 * 8 7x + -32x = 5x(11x) Combine like terms: 7x + -32x = -25x -25x = 5x(11x) Remove parenthesis around (11x) -25x = 5x * 11x Reorder the terms for easier multiplication: -25x = 5 * 11x * x Multiply 5 * 11 -25x = 55x * x Multiply x * x -25x = 55x2 Solving -25x = 55x2 Solving for variable 'x'. Combine like terms: 55x2 + -55x2 = 0 -25x + -55x2 = 0 Factor out the Greatest Common Factor (GCF), '-5x'. -5x(5 + 11x) = 0 Ignore the factor -5.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 '(5 + 11x)' equal to zero and attempt to solve: Simplifying 5 + 11x = 0 Solving 5 + 11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 11x = 0 + -5 11x = 0 + -5 Combine like terms: 0 + -5 = -5 11x = -5 Divide each side by '11'. x = -0.4545454545 Simplifying x = -0.4545454545Solution
x = {0, -0.4545454545}
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