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Simplifying 9x2 + -24x + 600 = 5x2 + -24x + 24 Reorder the terms: 600 + -24x + 9x2 = 5x2 + -24x + 24 Reorder the terms: 600 + -24x + 9x2 = 24 + -24x + 5x2 Add '24x' to each side of the equation. 600 + -24x + 24x + 9x2 = 24 + -24x + 24x + 5x2 Combine like terms: -24x + 24x = 0 600 + 0 + 9x2 = 24 + -24x + 24x + 5x2 600 + 9x2 = 24 + -24x + 24x + 5x2 Combine like terms: -24x + 24x = 0 600 + 9x2 = 24 + 0 + 5x2 600 + 9x2 = 24 + 5x2 Solving 600 + 9x2 = 24 + 5x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x2' to each side of the equation. 600 + 9x2 + -5x2 = 24 + 5x2 + -5x2 Combine like terms: 9x2 + -5x2 = 4x2 600 + 4x2 = 24 + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 600 + 4x2 = 24 + 0 600 + 4x2 = 24 Add '-600' to each side of the equation. 600 + -600 + 4x2 = 24 + -600 Combine like terms: 600 + -600 = 0 0 + 4x2 = 24 + -600 4x2 = 24 + -600 Combine like terms: 24 + -600 = -576 4x2 = -576 Divide each side by '4'. x2 = -144 Simplifying x2 = -144 Reorder the terms: 144 + x2 = -144 + 144 Combine like terms: -144 + 144 = 0 144 + x2 = 0 The solution to this equation could not be determined.
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