(2x-1)(-2x+5)=0

Simple and best practice solution for (2x-1)(-2x+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 (2x-1)(-2x+5)=0 equation: 


Simplifying
(2x + -1)(-2x + 5) = 0

Reorder the terms:
(-1 + 2x)(-2x + 5) = 0

Reorder the terms:
(-1 + 2x)(5 + -2x) = 0

Multiply (-1 + 2x) * (5 + -2x)
(-1(5 + -2x) + 2x * (5 + -2x)) = 0
((5 * -1 + -2x * -1) + 2x * (5 + -2x)) = 0
((-5 + 2x) + 2x * (5 + -2x)) = 0
(-5 + 2x + (5 * 2x + -2x * 2x)) = 0
(-5 + 2x + (10x + -4x2)) = 0

Combine like terms: 2x + 10x = 12x
(-5 + 12x + -4x2) = 0

Solving
-5 + 12x + -4x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-5 + 2x = 0

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

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

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

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {2.5, 0.5}

See similar equations:

| 5x^2=x+1 | | 6x^2+11x-20=0 | | -3+2x=-17-5x | | 9/11g=30 | | 25+p*5=30.76+p*3 | | 3(x+12)=5(x-2) | | -k+11=-24 | | 2m+7=29 | | -7(3x-1)=-21x+7 | | 12+b+1.5b= | | 52=-42+x | | 3m+2=-2n-8 | | t=4.41s+3 | | t=4.41+3s | | 4-2(6h-8)=116 | | 18*53= | | 4d=-52 | | x+0.15=0.14x-0.25 | | -5=v-5 | | 9s+20=128 | | 4(2x+3)-8(x+7)=70 | | 3x+5x-6=22 | | 1/2-2=t/10 | | 2(4x+8)=7x-20 | | e^2x=148 | | 20+-3x= | | 70=w*7 | | 16+1x+20=124 | | 4x^3+60x^2+176x=0 | | -11x+15=-9x-43 | | -14=2f | | 9+3x=4x-2 |

Equations solver categories