(8x-12)(10-15x)=0

Simple and best practice solution for (8x-12)(10-15x)=0 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 (8x-12)(10-15x)=0 equation: 


Simplifying
(8x + -12)(10 + -15x) = 0

Reorder the terms:
(-12 + 8x)(10 + -15x) = 0

Multiply (-12 + 8x) * (10 + -15x)
(-12(10 + -15x) + 8x * (10 + -15x)) = 0
((10 * -12 + -15x * -12) + 8x * (10 + -15x)) = 0
((-120 + 180x) + 8x * (10 + -15x)) = 0
(-120 + 180x + (10 * 8x + -15x * 8x)) = 0
(-120 + 180x + (80x + -120x2)) = 0

Combine like terms: 180x + 80x = 260x
(-120 + 260x + -120x2) = 0

Solving
-120 + 260x + -120x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '20'.
20(-6 + 13x + -6x2) = 0

Factor a trinomial.
20((-3 + 2x)(2 + -3x)) = 0

Ignore the factor 20.

Subproblem 1
Set the factor '(-3 + 2x)' equal to zero and attempt to solve:

Simplifying
-3 + 2x = 0

Solving
-3 + 2x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 0 + 3
2x = 0 + 3

Combine like terms: 0 + 3 = 3
2x = 3

Divide each side by '2'.
x = 1.5

Simplifying
x = 1.5

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {1.5, 0.6666666667}

See similar equations:

| y=-4(0)+5 | | y=-4(-1)+5 | | x+2(3)=8 | | 2/3(3x+18)=5x-9 | | 2+3x=5-2 | | 3.46y-6.851=2.6y-1.35y | | 1/2(2x-6)=2x | | z^7+2z^4+4z=0 | | z^7+2(z^4)+4z=0 | | 1.6a+0.42a=1.2a-0.984 | | 6x-94=2x-14 | | A=x^2-253 | | k^2+23=984 | | -3x-7=5+8x | | -x+4(21-8x)=18 | | -3x-16=-6x-25 | | 7(-x-2)=-7x+7 | | -0.6x+2.4(-4+4y)=2.4 | | 0.3x-1.2y=-1.2 | | x=2(115-x)+10 | | 2(5x-26)=10x-52 | | x+(x+4)=2x-1 | | -9x+3(5x-2)=-6 | | 5(a-1)= | | 0.65x+0.2(18-x)=0.3(18) | | 2x+205=11x-11 | | 157-5x=31x+17 | | 1z^2+9z-36=0 | | 8x-2+x-4= | | -2y+2x=14 | | -2x+2y=14 | | -4x=4x-4+3 |

Equations solver categories