3x+4x^2-5xy+12xz=

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Solution for 3x+4x^2-5xy+12xz= equation:


Simplifying
3x + 4x2 + -5xy + 12xz = 0

Reorder the terms:
3x + -5xy + 12xz + 4x2 = 0

Solving
3x + -5xy + 12xz + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + -5y + 12z + 4x) = 0

Subproblem 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 = 0

Subproblem 2

Set the factor '(3 + -5y + 12z + 4x)' equal to zero and attempt to solve: Simplifying 3 + -5y + 12z + 4x = 0 Reorder the terms: 3 + 4x + -5y + 12z = 0 Solving 3 + 4x + -5y + 12z = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4x + -5y + -3 + 12z = 0 + -3 Reorder the terms: 3 + -3 + 4x + -5y + 12z = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x + -5y + 12z = 0 + -3 4x + -5y + 12z = 0 + -3 Combine like terms: 0 + -3 = -3 4x + -5y + 12z = -3 Add '5y' to each side of the equation. 4x + -5y + 5y + 12z = -3 + 5y Combine like terms: -5y + 5y = 0 4x + 0 + 12z = -3 + 5y 4x + 12z = -3 + 5y Add '-12z' to each side of the equation. 4x + 12z + -12z = -3 + 5y + -12z Combine like terms: 12z + -12z = 0 4x + 0 = -3 + 5y + -12z 4x = -3 + 5y + -12z Divide each side by '4'. x = -0.75 + 1.25y + -3z Simplifying x = -0.75 + 1.25y + -3z

Solution

x = {0, -0.75 + 1.25y + -3z}

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