(53-2x)(28-2x)=900

Simple and best practice solution for (53-2x)(28-2x)=900 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 (53-2x)(28-2x)=900 equation: 


Simplifying
(53 + -2x)(28 + -2x) = 900

Multiply (53 + -2x) * (28 + -2x)
(53(28 + -2x) + -2x * (28 + -2x)) = 900
((28 * 53 + -2x * 53) + -2x * (28 + -2x)) = 900
((1484 + -106x) + -2x * (28 + -2x)) = 900
(1484 + -106x + (28 * -2x + -2x * -2x)) = 900
(1484 + -106x + (-56x + 4x2)) = 900

Combine like terms: -106x + -56x = -162x
(1484 + -162x + 4x2) = 900

Solving
1484 + -162x + 4x2 = 900

Solving for variable 'x'.

Reorder the terms:
1484 + -900 + -162x + 4x2 = 900 + -900

Combine like terms: 1484 + -900 = 584
584 + -162x + 4x2 = 900 + -900

Combine like terms: 900 + -900 = 0
584 + -162x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(292 + -81x + 2x2) = 0

Factor a trinomial.
2((4 + -1x)(73 + -2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(73 + -2x)' equal to zero and attempt to solve:

Simplifying
73 + -2x = 0

Solving
73 + -2x = 0

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

Add '-73' to each side of the equation.
73 + -73 + -2x = 0 + -73

Combine like terms: 73 + -73 = 0
0 + -2x = 0 + -73
-2x = 0 + -73

Combine like terms: 0 + -73 = -73
-2x = -73

Divide each side by '-2'.
x = 36.5

Simplifying
x = 36.5
Solution
x = {4, 36.5}

See similar equations:

| 7v/8=56 | | 7x=14/9 | | (x-2)(x-1)-x^2=-1 | | 3000/x=14.97 | | 5x-3(2x+4)=3(x-9) | | 3500/X=14.97 | | -9-3(2x+3)=4(x-9) | | 4.5x+2(4+x)=36 | | -2x+3(-x+4)=50 | | 10+-2y+6y=20 | | (x+5)(x+10)=0 | | 3(x+6)+2(1-6x)=64 | | 50+5x-x^2=0 | | 5000((1.12^n-1)/0.12)=250000 | | (r-2)(r+18)=25 | | 42=x(28) | | Logx(5/7)=-1/3 | | 1.12^n-1/0.12 | | 1/3*1.5= | | 1/3*1.5 | | X+7+7x=23 | | X+7+7x= | | tanA=1 | | x+14x+9= | | 3x+10+7x= | | y+2=2y+2 | | y-2y=2y+2 | | x/.125=9 | | x/.125=9 | | 20-2N+3N-2+N=18 | | 2(3x/4y)=6x/4y | | 2(3x/4y)=6x/8y |

Equations solver categories