5x(10x-10)=5(-4x+4)

Simple and best practice solution for 5x(10x-10)=5(-4x+4) 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(10x-10)=5(-4x+4) equation: 


Simplifying
5x(10x + -10) = 5(-4x + 4)

Reorder the terms:
5x(-10 + 10x) = 5(-4x + 4)
(-10 * 5x + 10x * 5x) = 5(-4x + 4)
(-50x + 50x2) = 5(-4x + 4)

Reorder the terms:
-50x + 50x2 = 5(4 + -4x)
-50x + 50x2 = (4 * 5 + -4x * 5)
-50x + 50x2 = (20 + -20x)

Solving
-50x + 50x2 = 20 + -20x

Solving for variable 'x'.

Reorder the terms:
-20 + -50x + 20x + 50x2 = 20 + -20x + -20 + 20x

Combine like terms: -50x + 20x = -30x
-20 + -30x + 50x2 = 20 + -20x + -20 + 20x

Reorder the terms:
-20 + -30x + 50x2 = 20 + -20 + -20x + 20x

Combine like terms: 20 + -20 = 0
-20 + -30x + 50x2 = 0 + -20x + 20x
-20 + -30x + 50x2 = -20x + 20x

Combine like terms: -20x + 20x = 0
-20 + -30x + 50x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(-2 + -3x + 5x2) = 0

Factor a trinomial.
10((-2 + -5x)(1 + -1x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve:

Simplifying
-2 + -5x = 0

Solving
-2 + -5x = 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 + -5x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 0 + 2
-5x = 0 + 2

Combine like terms: 0 + 2 = 2
-5x = 2

Divide each side by '-5'.
x = -0.4

Simplifying
x = -0.4

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1
Solution
x = {-0.4, 1}

See similar equations:

| 3x+6(x+14)=192 | | -8x+4x=0 | | y=3.75x | | 0.444444/-16= | | X+(x+14)=66 | | 4(u-5)-9=-3(-4u+5)-4u | | 98=(5x)(2x) | | -0.19=-n/10 | | 7(5-2x)=147 | | -5(p-19)=-6+2p | | 2(10+3x)=7+x | | 35y-7=2 | | 6.4x+2.1=3.1x-1.2 | | 4n-15=97 | | -7x-8=48+x | | -7+8p= | | -a/-b | | 6000+55x=5000+65x | | 4x^2+x=28 | | y=2/(2/3) | | D^6-28d^3+27=0 | | x^3-3x^2-6x+13=0 | | 0.9/1.5=12/n | | 4(3x+1)=3+8x-11 | | y=2/2/3 | | 4x^2+x-28=0 | | -9(x+3)+4x+7=7x+11 | | -7=x-2x | | 0.5(y-3)=2 | | 32y=35y | | -0.14x-0.04(3-6x)=0.05(x-6)-0.22 | | -1.6x=4.5 |

Equations solver categories