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Simplifying 2x2 + 7x + 6 = 6 Reorder the terms: 6 + 7x + 2x2 = 6 Add '-6' to each side of the equation. 6 + 7x + -6 + 2x2 = 6 + -6 Reorder the terms: 6 + -6 + 7x + 2x2 = 6 + -6 Combine like terms: 6 + -6 = 0 0 + 7x + 2x2 = 6 + -6 7x + 2x2 = 6 + -6 Combine like terms: 6 + -6 = 0 7x + 2x2 = 0 Solving 7x + 2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(7 + 2x) = 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 '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {0, -3.5}
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