z^2+4z-54=(2z+9)(z-6)

Simple and best practice solution for z^2+4z-54=(2z+9)(z-6) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for z^2+4z-54=(2z+9)(z-6) equation: 


Simplifying
z2 + 4z + -54 = (2z + 9)(z + -6)

Reorder the terms:
-54 + 4z + z2 = (2z + 9)(z + -6)

Reorder the terms:
-54 + 4z + z2 = (9 + 2z)(z + -6)

Reorder the terms:
-54 + 4z + z2 = (9 + 2z)(-6 + z)

Multiply (9 + 2z) * (-6 + z)
-54 + 4z + z2 = (9(-6 + z) + 2z * (-6 + z))
-54 + 4z + z2 = ((-6 * 9 + z * 9) + 2z * (-6 + z))
-54 + 4z + z2 = ((-54 + 9z) + 2z * (-6 + z))
-54 + 4z + z2 = (-54 + 9z + (-6 * 2z + z * 2z))
-54 + 4z + z2 = (-54 + 9z + (-12z + 2z2))

Combine like terms: 9z + -12z = -3z
-54 + 4z + z2 = (-54 + -3z + 2z2)

Add '54' to each side of the equation.
-54 + 4z + 54 + z2 = -54 + -3z + 54 + 2z2

Reorder the terms:
-54 + 54 + 4z + z2 = -54 + -3z + 54 + 2z2

Combine like terms: -54 + 54 = 0
0 + 4z + z2 = -54 + -3z + 54 + 2z2
4z + z2 = -54 + -3z + 54 + 2z2

Reorder the terms:
4z + z2 = -54 + 54 + -3z + 2z2

Combine like terms: -54 + 54 = 0
4z + z2 = 0 + -3z + 2z2
4z + z2 = -3z + 2z2

Solving
4z + z2 = -3z + 2z2

Solving for variable 'z'.

Reorder the terms:
4z + 3z + z2 + -2z2 = -3z + 2z2 + 3z + -2z2

Combine like terms: 4z + 3z = 7z
7z + z2 + -2z2 = -3z + 2z2 + 3z + -2z2

Combine like terms: z2 + -2z2 = -1z2
7z + -1z2 = -3z + 2z2 + 3z + -2z2

Reorder the terms:
7z + -1z2 = -3z + 3z + 2z2 + -2z2

Combine like terms: -3z + 3z = 0
7z + -1z2 = 0 + 2z2 + -2z2
7z + -1z2 = 2z2 + -2z2

Combine like terms: 2z2 + -2z2 = 0
7z + -1z2 = 0

Factor out the Greatest Common Factor (GCF), 'z'.
z(7 + -1z) = 0


Subproblem 1
Set the factor 'z' equal to zero and attempt to solve:

Simplifying
z = 0

Solving
z = 0

Move all terms containing z to the left, all other terms to the right.

Simplifying
z = 0

Subproblem 2
Set the factor '(7 + -1z)' equal to zero and attempt to solve:

Simplifying
7 + -1z = 0

Solving
7 + -1z = 0

Move all terms containing z to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + -1z = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1z = 0 + -7
-1z = 0 + -7

Combine like terms: 0 + -7 = -7
-1z = -7

Divide each side by '-1'.
z = 7

Simplifying
z = 7
Solution
z = {0, 7}

See similar equations:

| w^2+w-156=0 | | 4(x-2)-8=o | | 14y-5=55-y | | 4z+2=z-3 | | 20=3x+6 | | -1.1-(-4.3)= | | 18x(sxr)= | | 49z^2-25=0 | | 8y^2+25y-28=0 | | x=10x^2-2x+34 | | 9y^2-30y=-25 | | x^2-16x+37=0 | | 5x+3y=26 | | 1300=y-(y*.30) | | 4w^2-6=5w | | 5x+3x=26 | | -12x^3+84x^2-120x=0 | | -13w-4=3w^2 | | 2u^2=3u+2 | | t+9=17 | | 6=3t-3 | | 15m=7 | | 6x^2-2x-5=0 | | 6x^2-2-5=0 | | 5u+4v-7(5u-2v)= | | -(2x-2)= | | 3n-4=26 | | 9t+4s= | | -3(5n+1)=3 | | x^2+17x+60=0 | | y=x(x)+5 | | 3(w-2)-5w=-2(w+2) |

Equations solver categories