Question

How to solve (4x 3 + 7y 3z 4) 2

Answer 1

My work:

Simplifying (4x3 + 7y3z4)(4x3 + 7y3z4) = 0 Multiply (4x3 + 7y3z4) * (4x3 + 7y3z4) (4x3 * (4x3 + 7y3z4) + 7y3z4 * (4x3 + 7y3z4)) = 0 ((4x3 * 4x3 + 7y3z4 * 4x3) + 7y3z4 * (4x3 + 7y3z4)) = 0 Reorder the terms: ((28x3y3z4 + 16x6) + 7y3z4 * (4x3 + 7y3z4)) = 0 ((28x3y3z4 + 16x6) + 7y3z4 * (4x3 + 7y3z4)) = 0 (28x3y3z4 + 16x6 + (4x3 * 7y3z4 + 7y3z4 * 7y3z4)) = 0 (28x3y3z4 + 16x6 + (28x3y3z4 + 49y6z8)) = 0 Reorder the terms: (28x3y3z4 + 28x3y3z4 + 16x6 + 49y6z8) = 0 Combine like terms: 28x3y3z4 + 28x3y3z4 = 56x3y3z4 (56x3y3z4 + 16x6 + 49y6z8) = 0 Solving 56x3y3z4 + 16x6 + 49y6z8 = 0 Solving for variable 'x'. Factor a trinomial. (4x3 + 7y3z4)(4x3 + 7y3z4) = 0 Subproblem 1Set the factor '(4x3 + 7y3z4)' equal to zero and attempt to solve: Simplifying 4x3 + 7y3z4 = 0 Solving 4x3 + 7y3z4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y3z4' to each side of the equation. 4x3 + 7y3z4 + -7y3z4 = 0 + -7y3z4 Combine like terms: 7y3z4 + -7y3z4 = 0 4x3 + 0 = 0 + -7y3z4 4x3 = 0 + -7y3z4 Remove the zero: 4x3 = -7y3z4 Divide each side by '4'. x3 = -1.75y3z4 Simplifying x3 = -1.75y3z4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. Subproblem 2Set the factor '(4x3 + 7y3z4)' equal to zero and attempt to solve: Simplifying 4x3 + 7y3z4 = 0 Solving 4x3 + 7y3z4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7y3z4' to each side of the equation. 4x3 + 7y3z4 + -7y3z4 = 0 + -7y3z4 Combine like terms: 7y3z4 + -7y3z4 = 0 4x3 + 0 = 0 + -7y3z4 4x3 = 0 + -7y3z4 Remove the zero: 4x3 = -7y3z4 Divide each side by '4'. x3 = -1.75y3z4 Simplifying x3 = -1.75y3z4 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.
Hope that this help you! =)