(5x-5)(5x-5)=0

Simple and best practice solution for (5x-5)(5x-5)=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 (5x-5)(5x-5)=0 equation: 


Simplifying
(5x + -5)(5x + -5) = 0

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

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

Multiply (-5 + 5x) * (-5 + 5x)
(-5(-5 + 5x) + 5x * (-5 + 5x)) = 0
((-5 * -5 + 5x * -5) + 5x * (-5 + 5x)) = 0
((25 + -25x) + 5x * (-5 + 5x)) = 0
(25 + -25x + (-5 * 5x + 5x * 5x)) = 0
(25 + -25x + (-25x + 25x2)) = 0

Combine like terms: -25x + -25x = -50x
(25 + -50x + 25x2) = 0

Solving
25 + -50x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '25'.
25(1 + -2x + x2) = 0

Factor a trinomial.
25((1 + -1x)(1 + -1x)) = 0

Ignore the factor 25.

Subproblem 1
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

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 = {1, 1}

See similar equations:

| 8x-3x+2-x=4x+5 | | 8x-3x+2-x=3x+4 | | 8x-3x+2-x=2x+3 | | 3(2b+7)2=75 | | 27x^2k=3x^5 | | 2(x+y)=7y-5 | | 11r-2(-12r-1)=3(4r-7) | | 9a-8=5a | | 15s+30=90 | | 8x-3x+2-x=8x+9 | | 14l+7=133 | | -4x+5=-7 | | 18x(15x)= | | 14l+1=133 | | 10a-3a=-2(4+8a)+5(12+2a) | | 2(x+6)=9x+8-7x+4 | | 3a-12=54 | | z^2-11z=-10 | | 5x=6(38.5-x) | | 8x-3x+2-x=3x+8 | | 2*sin*3*x=0 | | -10(x-2)=10x-10(x-12) | | (x^2-2xy+6x)dx+(x^2-2xy+2)dy=0 | | 6(x-4)+4=-32+6x | | 3+35x=20x+6 | | u-12=v | | -3(2n+8)=-8n-12 | | 90+(-120)+x=180 | | 4x+5y+3z=13 | | -4*-25=a | | y=-4.9x^2+10 | | 9d-12=100 |

Equations solver categories