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Simplifying 8x2 + 22x + -21 = -21 Reorder the terms: -21 + 22x + 8x2 = -21 Add '21' to each side of the equation. -21 + 22x + 21 + 8x2 = -21 + 21 Reorder the terms: -21 + 21 + 22x + 8x2 = -21 + 21 Combine like terms: -21 + 21 = 0 0 + 22x + 8x2 = -21 + 21 22x + 8x2 = -21 + 21 Combine like terms: -21 + 21 = 0 22x + 8x2 = 0 Solving 22x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(11 + 4x) = 0 Ignore the factor 2.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 '(11 + 4x)' equal to zero and attempt to solve: Simplifying 11 + 4x = 0 Solving 11 + 4x = 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 + 4x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4x = 0 + -11 4x = 0 + -11 Combine like terms: 0 + -11 = -11 4x = -11 Divide each side by '4'. x = -2.75 Simplifying x = -2.75Solution
x = {0, -2.75}
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