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Simplifying 4x2 + 11x * 7 = 0 Reorder the terms for easier multiplication: 4x2 + 11 * 7x = 0 Multiply 11 * 7 4x2 + 77x = 0 Reorder the terms: 77x + 4x2 = 0 Solving 77x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(77 + 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 '(77 + 4x)' equal to zero and attempt to solve: Simplifying 77 + 4x = 0 Solving 77 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + -77 + 4x = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 4x = 0 + -77 4x = 0 + -77 Combine like terms: 0 + -77 = -77 4x = -77 Divide each side by '4'. x = -19.25 Simplifying x = -19.25Solution
x = {0, -19.25}
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