(2z-4)(3z+10)=

Simple and best practice solution for (2z-4)(3z+10)= 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 (2z-4)(3z+10)= equation: 


Simplifying
(2z + -4)(3z + 10) = 0

Reorder the terms:
(-4 + 2z)(3z + 10) = 0

Reorder the terms:
(-4 + 2z)(10 + 3z) = 0

Multiply (-4 + 2z) * (10 + 3z)
(-4(10 + 3z) + 2z * (10 + 3z)) = 0
((10 * -4 + 3z * -4) + 2z * (10 + 3z)) = 0
((-40 + -12z) + 2z * (10 + 3z)) = 0
(-40 + -12z + (10 * 2z + 3z * 2z)) = 0
(-40 + -12z + (20z + 6z2)) = 0

Combine like terms: -12z + 20z = 8z
(-40 + 8z + 6z2) = 0

Solving
-40 + 8z + 6z2 = 0

Solving for variable 'z'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + 4z + 3z2) = 0

Factor a trinomial.
2((-10 + -3z)(2 + -1z)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + -3z)' equal to zero and attempt to solve:

Simplifying
-10 + -3z = 0

Solving
-10 + -3z = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3z = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3z = 0 + 10
-3z = 0 + 10

Combine like terms: 0 + 10 = 10
-3z = 10

Divide each side by '-3'.
z = -3.333333333

Simplifying
z = -3.333333333

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

Simplifying
2 + -1z = 0

Solving
2 + -1z = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1z = 0 + -2

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

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

Divide each side by '-1'.
z = 2

Simplifying
z = 2
Solution
z = {-3.333333333, 2}

See similar equations:

| h/-6-12 | | 4.9x^2+2.3x-10=0 | | 20=5b-(100+3b) | | 10(y-2)=18y+5 | | v=200+50(85-70) | | 10p^2-3p-97=3p | | 4x+13=8x-7 | | k^12x+23=0 | | -3/5z=-6 | | -3x+2(-3-2x)=-6-7x | | (2x+8)(x-6)+3(x-2)=0 | | (9x+4)*(5x-2)=0 | | 4(3+c)-(2-c)= | | 50X^2-1X-10=0 | | 8y-(5y+13)=-7 | | 0.33=log(x) | | 6x^2-121= | | 2.5n-1.04=0.15n-0.1 | | 4x^2+13x+27=7x+6 | | 4.9x^2+2.3x-180=0 | | (5x^2+5x-7)+(2x^2+9x+12)-(7x^2-15)= | | 16-8x-x^2=0 | | 2=2(2x-5) | | -[4x-(2x+3)]=-4-[3(2x-4)-2x] | | y=(c-k)x+2 | | x+0.2=0.36 | | cos^2(2x)=.5 | | ln(10x-1)=-1 | | 5(3x-2(2x-6)-(3x-1))=90 | | (2x-5)=(30+42) | | 8y-7(3)+3=-4(3)+5y-9 | | log(6x+9)=0 |

Equations solver categories