(5x+12)(10x-8)=

Simple and best practice solution for (5x+12)(10x-8)= 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 (5x+12)(10x-8)= equation: 


Simplifying
(5x + 12)(10x + -8) = 0

Reorder the terms:
(12 + 5x)(10x + -8) = 0

Reorder the terms:
(12 + 5x)(-8 + 10x) = 0

Multiply (12 + 5x) * (-8 + 10x)
(12(-8 + 10x) + 5x * (-8 + 10x)) = 0
((-8 * 12 + 10x * 12) + 5x * (-8 + 10x)) = 0
((-96 + 120x) + 5x * (-8 + 10x)) = 0
(-96 + 120x + (-8 * 5x + 10x * 5x)) = 0
(-96 + 120x + (-40x + 50x2)) = 0

Combine like terms: 120x + -40x = 80x
(-96 + 80x + 50x2) = 0

Solving
-96 + 80x + 50x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-48 + 40x + 25x2) = 0

Factor a trinomial.
2((-12 + -5x)(4 + -5x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-12 + -5x)' equal to zero and attempt to solve:

Simplifying
-12 + -5x = 0

Solving
-12 + -5x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -5x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = 0 + 12
-5x = 0 + 12

Combine like terms: 0 + 12 = 12
-5x = 12

Divide each side by '-5'.
x = -2.4

Simplifying
x = -2.4

Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {-2.4, 0.8}

See similar equations:

| 57-5x=8x+17 | | 57-5x=8x-18 | | 8X-4=3X-19 | | 5c=4c+2 | | 5x+4x=30 | | x/3=x+2/4 | | 2y^2+7y-10=0 | | 4x-6=2x-4 | | 8u^2-31u-4=0 | | 5x+12x-14=7x+15x+21 | | (2w-3)(3w-8)=0 | | 5x+5=5x-5 | | 5-10x=85-45x | | x-1=7(x+1) | | x+5=4x-10 | | 2-π*x=3(π+x) | | 3x+6=3(x+2) | | 5.8(x-2)=-0.2x+18.4 | | 3x-3y^3=0 | | 4x^2+17-15= | | 5+(1+2(2x-3))=6(x+5) | | x^3-30x^2-250=0 | | k^2-3k-4=0 | | k^4-6k-8=0 | | 2(a-7)=14 | | 4x+6=2(x+2) | | 3x+8=34-2x | | X^3-4X^2+5X=0 | | x^2-x+0.24=0 | | 9x-15=4x+35 | | 14c-7c= | | 5(2k+9)=50 |

Equations solver categories