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Simplifying 5X3 + -6x2 + 2x + -5 = 0 Reorder the terms: -5 + 5X3 + 2x + -6x2 = 0 Solving -5 + 5X3 + 2x + -6x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5X3 + 2x + 5 + -6x2 = 0 + 5 Reorder the terms: -5 + 5 + 5X3 + 2x + -6x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5X3 + 2x + -6x2 = 0 + 5 5X3 + 2x + -6x2 = 0 + 5 Combine like terms: 0 + 5 = 5 5X3 + 2x + -6x2 = 5 Add '-2x' to each side of the equation. 5X3 + 2x + -2x + -6x2 = 5 + -2x Combine like terms: 2x + -2x = 0 5X3 + 0 + -6x2 = 5 + -2x 5X3 + -6x2 = 5 + -2x Add '6x2' to each side of the equation. 5X3 + -6x2 + 6x2 = 5 + -2x + 6x2 Combine like terms: -6x2 + 6x2 = 0 5X3 + 0 = 5 + -2x + 6x2 5X3 = 5 + -2x + 6x2 Divide each side by '5'. X3 = 1 + -0.4x + 1.2x2 Simplifying X3 = 1 + -0.4x + 1.2x2 Reorder the terms: -1 + X3 + 0.4x + -1.2x2 = 1 + -0.4x + 1.2x2 + -1 + 0.4x + -1.2x2 Reorder the terms: -1 + X3 + 0.4x + -1.2x2 = 1 + -1 + -0.4x + 0.4x + 1.2x2 + -1.2x2 Combine like terms: 1 + -1 = 0 -1 + X3 + 0.4x + -1.2x2 = 0 + -0.4x + 0.4x + 1.2x2 + -1.2x2 -1 + X3 + 0.4x + -1.2x2 = -0.4x + 0.4x + 1.2x2 + -1.2x2 Combine like terms: -0.4x + 0.4x = 0.0 -1 + X3 + 0.4x + -1.2x2 = 0.0 + 1.2x2 + -1.2x2 -1 + X3 + 0.4x + -1.2x2 = 1.2x2 + -1.2x2 Combine like terms: 1.2x2 + -1.2x2 = 0.0 -1 + X3 + 0.4x + -1.2x2 = 0.0 The solution to this equation could not be determined.
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