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Simplifying 5x2 + -2x + 18 = 2x2 + -2x + -144 Reorder the terms: 18 + -2x + 5x2 = 2x2 + -2x + -144 Reorder the terms: 18 + -2x + 5x2 = -144 + -2x + 2x2 Add '2x' to each side of the equation. 18 + -2x + 2x + 5x2 = -144 + -2x + 2x + 2x2 Combine like terms: -2x + 2x = 0 18 + 0 + 5x2 = -144 + -2x + 2x + 2x2 18 + 5x2 = -144 + -2x + 2x + 2x2 Combine like terms: -2x + 2x = 0 18 + 5x2 = -144 + 0 + 2x2 18 + 5x2 = -144 + 2x2 Solving 18 + 5x2 = -144 + 2x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x2' to each side of the equation. 18 + 5x2 + -2x2 = -144 + 2x2 + -2x2 Combine like terms: 5x2 + -2x2 = 3x2 18 + 3x2 = -144 + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 18 + 3x2 = -144 + 0 18 + 3x2 = -144 Add '-18' to each side of the equation. 18 + -18 + 3x2 = -144 + -18 Combine like terms: 18 + -18 = 0 0 + 3x2 = -144 + -18 3x2 = -144 + -18 Combine like terms: -144 + -18 = -162 3x2 = -162 Divide each side by '3'. x2 = -54 Simplifying x2 = -54 Reorder the terms: 54 + x2 = -54 + 54 Combine like terms: -54 + 54 = 0 54 + x2 = 0 The solution to this equation could not be determined.
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