(26-2x)(25-2x)=380

Simple and best practice solution for (26-2x)(25-2x)=380 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 (26-2x)(25-2x)=380 equation: 


Simplifying
(26 + -2x)(25 + -2x) = 380

Multiply (26 + -2x) * (25 + -2x)
(26(25 + -2x) + -2x * (25 + -2x)) = 380
((25 * 26 + -2x * 26) + -2x * (25 + -2x)) = 380
((650 + -52x) + -2x * (25 + -2x)) = 380
(650 + -52x + (25 * -2x + -2x * -2x)) = 380
(650 + -52x + (-50x + 4x2)) = 380

Combine like terms: -52x + -50x = -102x
(650 + -102x + 4x2) = 380

Solving
650 + -102x + 4x2 = 380

Solving for variable 'x'.

Reorder the terms:
650 + -380 + -102x + 4x2 = 380 + -380

Combine like terms: 650 + -380 = 270
270 + -102x + 4x2 = 380 + -380

Combine like terms: 380 + -380 = 0
270 + -102x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(135 + -51x + 2x2) = 0

Factor a trinomial.
2((3 + -1x)(45 + -2x)) = 0

Ignore the factor 2.

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

Subproblem 2
Set the factor '(45 + -2x)' equal to zero and attempt to solve:

Simplifying
45 + -2x = 0

Solving
45 + -2x = 0

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

Add '-45' to each side of the equation.
45 + -45 + -2x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -2x = 0 + -45
-2x = 0 + -45

Combine like terms: 0 + -45 = -45
-2x = -45

Divide each side by '-2'.
x = 22.5

Simplifying
x = 22.5
Solution
x = {3, 22.5}

See similar equations:

| 17=2(3x+1)-6 | | 6x+5-2x=4x+4+1 | | i(2-6i)-(4+3i)= | | t-7/6=5/6 | | -3(t-5)+5t=7t-6 | | 5/12=1/3x | | 3x+1.5y=18 | | 3ln(3x)+5=17 | | 1+9(x-4)=7-9(x-5) | | 2(3x-7)-36= | | ((6x^3)-2x-5)(4x-1)= | | x^3+10x^2+14x=0 | | 8x-20+12-21x=80+48x | | -3.4(y-4)-4.4y= | | 33x+20y=450 | | 6(25/27)= | | 6(25/27) | | 6x+2(3-x)=7x+9+9 | | 6x+2(3-x)=6x+3+15 | | 6x+2(3-x)=7x+5 | | 6x+9y=360 | | 1/3×5/2 | | 2(13/5) | | 1/3=5/2x-8/3 | | 6(t-6)+8t=7(2t+3)-8 | | 4/5y=6 | | 180x+96y=60 | | n^2(-2n^2+7n-4)= | | 30=16=1/5x | | -18+7y=-12+4y | | 1-(7n+9)= | | 2x+3x-5=8 |

Equations solver categories