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Simplifying (15x4 + 10x) + -12(x4 + 4x) = 0 Reorder the terms: (10x + 15x4) + -12(x4 + 4x) = 0 Remove parenthesis around (10x + 15x4) 10x + 15x4 + -12(x4 + 4x) = 0 Reorder the terms: 10x + 15x4 + -12(4x + x4) = 0 10x + 15x4 + (4x * -12 + x4 * -12) = 0 10x + 15x4 + (-48x + -12x4) = 0 Reorder the terms: 10x + -48x + 15x4 + -12x4 = 0 Combine like terms: 10x + -48x = -38x -38x + 15x4 + -12x4 = 0 Combine like terms: 15x4 + -12x4 = 3x4 -38x + 3x4 = 0 Solving -38x + 3x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-38 + 3x3) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-38 + 3x3)' equal to zero and attempt to solve: Simplifying -38 + 3x3 = 0 Solving -38 + 3x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 3x3 = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 3x3 = 0 + 38 3x3 = 0 + 38 Combine like terms: 0 + 38 = 38 3x3 = 38 Divide each side by '3'. x3 = 12.66666667 Simplifying x3 = 12.66666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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