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Simplifying X(35 + -2x) + X(35 + -2x) + (70 + -2x)(x) + (70 + -2x)(x) = 0 (35 * X + -2x * X) + X(35 + -2x) + (70 + -2x)(x) + (70 + -2x)(x) = 0 (35X + -2xX) + X(35 + -2x) + (70 + -2x)(x) + (70 + -2x)(x) = 0 35X + -2xX + (35 * X + -2x * X) + (70 + -2x)(x) + (70 + -2x)(x) = 0 35X + -2xX + (35X + -2xX) + (70 + -2x)(x) + (70 + -2x)(x) = 0 Reorder the terms for easier multiplication: 35X + -2xX + 35X + -2xX + x(70 + -2x) + (70 + -2x)(x) = 0 35X + -2xX + 35X + -2xX + (70 * x + -2x * x) + (70 + -2x)(x) = 0 35X + -2xX + 35X + -2xX + (70x + -2x2) + (70 + -2x)(x) = 0 Reorder the terms for easier multiplication: 35X + -2xX + 35X + -2xX + 70x + -2x2 + x(70 + -2x) = 0 35X + -2xX + 35X + -2xX + 70x + -2x2 + (70 * x + -2x * x) = 0 35X + -2xX + 35X + -2xX + 70x + -2x2 + (70x + -2x2) = 0 Reorder the terms: 35X + 35X + 70x + 70x + -2xX + -2xX + -2x2 + -2x2 = 0 Combine like terms: 35X + 35X = 70X 70X + 70x + 70x + -2xX + -2xX + -2x2 + -2x2 = 0 Combine like terms: 70x + 70x = 140x 70X + 140x + -2xX + -2xX + -2x2 + -2x2 = 0 Combine like terms: -2xX + -2xX = -4xX 70X + 140x + -4xX + -2x2 + -2x2 = 0 Combine like terms: -2x2 + -2x2 = -4x2 70X + 140x + -4xX + -4x2 = 0 Solving 70X + 140x + -4xX + -4x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-140x' to each side of the equation. 70X + 140x + -4xX + -140x + -4x2 = 0 + -140x Reorder the terms: 70X + 140x + -140x + -4xX + -4x2 = 0 + -140x Combine like terms: 140x + -140x = 0 70X + 0 + -4xX + -4x2 = 0 + -140x 70X + -4xX + -4x2 = 0 + -140x Remove the zero: 70X + -4xX + -4x2 = -140x Add '4x2' to each side of the equation. 70X + -4xX + -4x2 + 4x2 = -140x + 4x2 Combine like terms: -4x2 + 4x2 = 0 70X + -4xX + 0 = -140x + 4x2 70X + -4xX = -140x + 4x2 Reorder the terms: 70X + 140x + -4xX + -4x2 = -140x + 4x2 + 140x + -4x2 Reorder the terms: 70X + 140x + -4xX + -4x2 = -140x + 140x + 4x2 + -4x2 Combine like terms: -140x + 140x = 0 70X + 140x + -4xX + -4x2 = 0 + 4x2 + -4x2 70X + 140x + -4xX + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 70X + 140x + -4xX + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(35X + 70x + -2xX + -2x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(35X + 70x + -2xX + -2x2)' equal to zero and attempt to solve: Simplifying 35X + 70x + -2xX + -2x2 = 0 Solving 35X + 70x + -2xX + -2x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-70x' to each side of the equation. 35X + 70x + -2xX + -70x + -2x2 = 0 + -70x Reorder the terms: 35X + 70x + -70x + -2xX + -2x2 = 0 + -70x Combine like terms: 70x + -70x = 0 35X + 0 + -2xX + -2x2 = 0 + -70x 35X + -2xX + -2x2 = 0 + -70x Remove the zero: 35X + -2xX + -2x2 = -70x Add '2x2' to each side of the equation. 35X + -2xX + -2x2 + 2x2 = -70x + 2x2 Combine like terms: -2x2 + 2x2 = 0 35X + -2xX + 0 = -70x + 2x2 35X + -2xX = -70x + 2x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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