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Simplifying -7 = 4x2 + 24x + -7 Reorder the terms: -7 = -7 + 24x + 4x2 Add '7' to each side of the equation. -7 + 7 = -7 + 24x + 7 + 4x2 Combine like terms: -7 + 7 = 0 0 = -7 + 24x + 7 + 4x2 Reorder the terms: 0 = -7 + 7 + 24x + 4x2 Combine like terms: -7 + 7 = 0 0 = 0 + 24x + 4x2 0 = 24x + 4x2 Solving 0 = 24x + 4x2 Solving for variable 'x'. Remove the zero: -24x + -4x2 = 24x + 4x2 + -24x + -4x2 Reorder the terms: -24x + -4x2 = 24x + -24x + 4x2 + -4x2 Combine like terms: 24x + -24x = 0 -24x + -4x2 = 0 + 4x2 + -4x2 -24x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -24x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-4x'. -4x(6 + x) = 0 Ignore the factor -4.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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {0, -6}
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