4x^2-20x=6(x-5)

Simple and best practice solution for 4x^2-20x=6(x-5) 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 4x^2-20x=6(x-5) equation: 


Simplifying
4x2 + -20x = 6(x + -5)

Reorder the terms:
-20x + 4x2 = 6(x + -5)

Reorder the terms:
-20x + 4x2 = 6(-5 + x)
-20x + 4x2 = (-5 * 6 + x * 6)
-20x + 4x2 = (-30 + 6x)

Solving
-20x + 4x2 = -30 + 6x

Solving for variable 'x'.

Reorder the terms:
30 + -20x + -6x + 4x2 = -30 + 6x + 30 + -6x

Combine like terms: -20x + -6x = -26x
30 + -26x + 4x2 = -30 + 6x + 30 + -6x

Reorder the terms:
30 + -26x + 4x2 = -30 + 30 + 6x + -6x

Combine like terms: -30 + 30 = 0
30 + -26x + 4x2 = 0 + 6x + -6x
30 + -26x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
30 + -26x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -13x + 2x2) = 0

Factor a trinomial.
2((3 + -2x)(5 + -1x)) = 0

Ignore the factor 2.

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 '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {1.5, 5}

See similar equations:

| x^2+40x-2304=0 | | -5(a-1)=-6a+11 | | 2m+1=4 | | x^2-40x+2304=0 | | 10x^2-400x+2304=0 | | 2/5•m=2/3 | | 10x^2+400x-2304=0 | | -8n=4 | | 8x^2+36x+16=0 | | x^4+3x^3-5x^2+1= | | x^2+(k+1)x+4=0 | | 3+5.2=x | | 4x^3-15x^2-18x+7=0 | | log(x/6) | | 15/8*72 | | ln(x+2)+ln(x-5)=ln(x+11) | | 2*(1-x)-3*(x-1)=4*(2+x) | | 1/2p-1/4q=3*1/2 | | 4(x+2)-3x=21 | | (sqrt(2)-2*sqrt(3))^2/2 | | 2x+3z=540 | | 3z+7=29+z | | -9e^7x/2x-3 | | 5-(2-6x)=4-(6-x) | | y-3=1/3(x-13) | | (r-1)(4r+7)=0 | | x+3*(x-2)=4 | | 11x-6=3x+4 | | 6.12+0.7= | | -x+3x=-1-8 | | 13-91(2-3)=17 | | 3-x+5=x-1+2x |

Equations solver categories