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Simplifying 8y2x + 12y2x + 34x = 2x + 42 Reorder the terms: 34x + 8xy2 + 12xy2 = 2x + 42 Combine like terms: 8xy2 + 12xy2 = 20xy2 34x + 20xy2 = 2x + 42 Reorder the terms: 34x + 20xy2 = 42 + 2x Solving 34x + 20xy2 = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 34x + -2x + 20xy2 = 42 + 2x + -2x Combine like terms: 34x + -2x = 32x 32x + 20xy2 = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 32x + 20xy2 = 42 + 0 32x + 20xy2 = 42 Reorder the terms: -42 + 32x + 20xy2 = 42 + -42 Combine like terms: 42 + -42 = 0 -42 + 32x + 20xy2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-21 + 16x + 10xy2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-21 + 16x + 10xy2)' equal to zero and attempt to solve: Simplifying -21 + 16x + 10xy2 = 0 Solving -21 + 16x + 10xy2 = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 16x + 21 + 10xy2 = 0 + 21 Reorder the terms: -21 + 21 + 16x + 10xy2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 16x + 10xy2 = 0 + 21 16x + 10xy2 = 0 + 21 Combine like terms: 0 + 21 = 21 16x + 10xy2 = 21 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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