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Simplifying 10x2 + -14x + 2 = 15x2 + -14x + 3 Reorder the terms: 2 + -14x + 10x2 = 15x2 + -14x + 3 Reorder the terms: 2 + -14x + 10x2 = 3 + -14x + 15x2 Add '14x' to each side of the equation. 2 + -14x + 14x + 10x2 = 3 + -14x + 14x + 15x2 Combine like terms: -14x + 14x = 0 2 + 0 + 10x2 = 3 + -14x + 14x + 15x2 2 + 10x2 = 3 + -14x + 14x + 15x2 Combine like terms: -14x + 14x = 0 2 + 10x2 = 3 + 0 + 15x2 2 + 10x2 = 3 + 15x2 Solving 2 + 10x2 = 3 + 15x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x2' to each side of the equation. 2 + 10x2 + -15x2 = 3 + 15x2 + -15x2 Combine like terms: 10x2 + -15x2 = -5x2 2 + -5x2 = 3 + 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 2 + -5x2 = 3 + 0 2 + -5x2 = 3 Add '-2' to each side of the equation. 2 + -2 + -5x2 = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -5x2 = 3 + -2 -5x2 = 3 + -2 Combine like terms: 3 + -2 = 1 -5x2 = 1 Divide each side by '-5'. x2 = -0.2 Simplifying x2 = -0.2 Reorder the terms: 0.2 + x2 = -0.2 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.2 + x2 = 0.0 The solution to this equation could not be determined.
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