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Simplifying 4xz(3x + 8z) + -1(-5z)(3z + -4x) = 0 (3x * 4xz + 8z * 4xz) + -1(-5z)(3z + -4x) = 0 Reorder the terms: (32xz2 + 12x2z) + -1(-5z)(3z + -4x) = 0 (32xz2 + 12x2z) + -1(-5z)(3z + -4x) = 0 Remove parenthesis around (-5z) 32xz2 + 12x2z + -1 * -5z(3z + -4x) = 0 Reorder the terms: 32xz2 + 12x2z + -1 * -5z(-4x + 3z) = 0 Multiply -1 * -5 32xz2 + 12x2z + 5z(-4x + 3z) = 0 32xz2 + 12x2z + (-4x * 5z + 3z * 5z) = 0 32xz2 + 12x2z + (-20xz + 15z2) = 0 Reorder the terms: -20xz + 32xz2 + 12x2z + 15z2 = 0 Solving -20xz + 32xz2 + 12x2z + 15z2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'z'. z(-20x + 32xz + 12x2 + 15z) = 0Subproblem 1
Set the factor 'z' equal to zero and attempt to solve: Simplifying z = 0 Solving z = 0 Move all terms containing x to the left, all other terms to the right. Add '-1z' to each side of the equation. z + -1z = 0 + -1z Remove the zero: 0 = -1z Simplifying 0 = -1z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-20x + 32xz + 12x2 + 15z)' equal to zero and attempt to solve: Simplifying -20x + 32xz + 12x2 + 15z = 0 Solving -20x + 32xz + 12x2 + 15z = 0 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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