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Simplifying -21x2 + -24x = -5x2 + 4x Reorder the terms: -24x + -21x2 = -5x2 + 4x Reorder the terms: -24x + -21x2 = 4x + -5x2 Solving -24x + -21x2 = 4x + -5x2 Solving for variable 'x'. Reorder the terms: -24x + -4x + -21x2 + 5x2 = 4x + -5x2 + -4x + 5x2 Combine like terms: -24x + -4x = -28x -28x + -21x2 + 5x2 = 4x + -5x2 + -4x + 5x2 Combine like terms: -21x2 + 5x2 = -16x2 -28x + -16x2 = 4x + -5x2 + -4x + 5x2 Reorder the terms: -28x + -16x2 = 4x + -4x + -5x2 + 5x2 Combine like terms: 4x + -4x = 0 -28x + -16x2 = 0 + -5x2 + 5x2 -28x + -16x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -28x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '-4x'. -4x(7 + 4x) = 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 '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 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 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75Solution
x = {0, -1.75}
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