900=((3x)*(3x))+((4x)*(4x))

Simple and best practice solution for 900=((3x)*(3x))+((4x)*(4x)) 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 900=((3x)*(3x))+((4x)*(4x)) equation:


Simplifying
900 = ((3x)(3x)) + ((4x)(4x))

Remove parenthesis around (3x)
900 = (3x(3x)) + ((4x)(4x))

Remove parenthesis around (3x)
900 = (3x * 3x) + ((4x)(4x))

Reorder the terms for easier multiplication:
900 = (3 * 3x * x) + ((4x)(4x))

Multiply 3 * 3
900 = (9x * x) + ((4x)(4x))

Multiply x * x
900 = (9x2) + ((4x)(4x))

Remove parenthesis around (4x)
900 = (9x2) + (4x(4x))

Remove parenthesis around (4x)
900 = (9x2) + (4x * 4x)

Reorder the terms for easier multiplication:
900 = (9x2) + (4 * 4x * x)

Multiply 4 * 4
900 = (9x2) + (16x * x)

Multiply x * x
900 = (9x2) + (16x2)

Combine like terms: (9x2) + (16x2) = 25x2
900 = 25x2

Solving
900 = 25x2

Solving for variable 'x'.

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

Add '-25x2' to each side of the equation.
900 + -25x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
900 + -25x2 = 0

Add '-900' to each side of the equation.
900 + -900 + -25x2 = 0 + -900

Combine like terms: 900 + -900 = 0
0 + -25x2 = 0 + -900
-25x2 = 0 + -900

Combine like terms: 0 + -900 = -900
-25x2 = -900

Divide each side by '-25'.
x2 = 36

Simplifying
x2 = 36

Take the square root of each side:
x = {-6, 6}

See similar equations:

| 152-5x=40x+22 | | x^2-25x+16=0 | | x^2-25+16=0 | | 2t=t-5t-12 | | (9(x*x))-(16(x*x))= | | 50x+4x^2=116 | | 8b=7b | | 45:3=0.03x | | 45:3=0.3x | | 4w-6x-y+4w+17x-4y= | | 6(-1)=4(x-2) | | 7x-2y+11w+3y-3w+4x= | | 2x=2(x+1) | | 10x-3=4x+3 | | -2/7z+2=5/7z | | 4w+8y+2x+9x-13y+4w= | | 5(x-4)=12fraction | | 6x+50=9x+10 | | 4w+4x-14y+4w+7x+9y= | | (x^2)+4=53 | | 2x+25=4x-100 | | 81-4x=7-8x | | 7b+3=3b-7 | | x(x^2+24x+44)=0 | | 12a+15b+4c+5c-5b-6a= | | (20r^2)=4r | | (x^2)+5x-24=0 | | xx+5x-24=0 | | 8m+5n-2m+10n= | | 4-3xx=-8x+5 | | 3d+10e+7d+8e= | | 6x+19=76+x |

Equations solver categories