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Simplifying (6x2 + -9x + 1) + -1(5X2 + 4x + -3) = 0 Reorder the terms: (1 + -9x + 6x2) + -1(5X2 + 4x + -3) = 0 Remove parenthesis around (1 + -9x + 6x2) 1 + -9x + 6x2 + -1(5X2 + 4x + -3) = 0 Reorder the terms: 1 + -9x + 6x2 + -1(-3 + 5X2 + 4x) = 0 1 + -9x + 6x2 + (-3 * -1 + 5X2 * -1 + 4x * -1) = 0 1 + -9x + 6x2 + (3 + -5X2 + -4x) = 0 Reorder the terms: 1 + 3 + -5X2 + -9x + -4x + 6x2 = 0 Combine like terms: 1 + 3 = 4 4 + -5X2 + -9x + -4x + 6x2 = 0 Combine like terms: -9x + -4x = -13x 4 + -5X2 + -13x + 6x2 = 0 Solving 4 + -5X2 + -13x + 6x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -5X2 + -13x + -4 + 6x2 = 0 + -4 Reorder the terms: 4 + -4 + -5X2 + -13x + 6x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5X2 + -13x + 6x2 = 0 + -4 -5X2 + -13x + 6x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -5X2 + -13x + 6x2 = -4 Add '13x' to each side of the equation. -5X2 + -13x + 13x + 6x2 = -4 + 13x Combine like terms: -13x + 13x = 0 -5X2 + 0 + 6x2 = -4 + 13x -5X2 + 6x2 = -4 + 13x Add '-6x2' to each side of the equation. -5X2 + 6x2 + -6x2 = -4 + 13x + -6x2 Combine like terms: 6x2 + -6x2 = 0 -5X2 + 0 = -4 + 13x + -6x2 -5X2 = -4 + 13x + -6x2 Divide each side by '-5'. X2 = 0.8 + -2.6x + 1.2x2 Simplifying X2 = 0.8 + -2.6x + 1.2x2 Reorder the terms: -0.8 + X2 + 2.6x + -1.2x2 = 0.8 + -2.6x + 1.2x2 + -0.8 + 2.6x + -1.2x2 Reorder the terms: -0.8 + X2 + 2.6x + -1.2x2 = 0.8 + -0.8 + -2.6x + 2.6x + 1.2x2 + -1.2x2 Combine like terms: 0.8 + -0.8 = 0.0 -0.8 + X2 + 2.6x + -1.2x2 = 0.0 + -2.6x + 2.6x + 1.2x2 + -1.2x2 -0.8 + X2 + 2.6x + -1.2x2 = -2.6x + 2.6x + 1.2x2 + -1.2x2 Combine like terms: -2.6x + 2.6x = 0.0 -0.8 + X2 + 2.6x + -1.2x2 = 0.0 + 1.2x2 + -1.2x2 -0.8 + X2 + 2.6x + -1.2x2 = 1.2x2 + -1.2x2 Combine like terms: 1.2x2 + -1.2x2 = 0.0 -0.8 + X2 + 2.6x + -1.2x2 = 0.0 The solution to this equation could not be determined.
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