9(x^2-16x+64)=25x^2

Simple and best practice solution for 9(x^2-16x+64)=25x^2 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 9(x^2-16x+64)=25x^2 equation:


Simplifying
9(x2 + -16x + 64) = 25x2

Reorder the terms:
9(64 + -16x + x2) = 25x2
(64 * 9 + -16x * 9 + x2 * 9) = 25x2
(576 + -144x + 9x2) = 25x2

Solving
576 + -144x + 9x2 = 25x2

Solving for variable 'x'.

Combine like terms: 9x2 + -25x2 = -16x2
576 + -144x + -16x2 = 25x2 + -25x2

Combine like terms: 25x2 + -25x2 = 0
576 + -144x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(36 + -9x + -1x2) = 0

Factor a trinomial.
16((3 + -1x)(12 + x)) = 0

Ignore the factor 16.

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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12

Solution

x = {3, -12}

See similar equations:

| 2(x-1)+6=6x-4(-2+x) | | 12x^1/4=24 | | 3+6p-1=8p+20-4p | | 5/7p-18=-43 | | 0.1(0.1x+0.1)-0.5= | | 6+4s-2=5s+8-3s | | x^2-10x+31=55 | | 1x+3=46 | | 6x+1=6x+7 | | 3x-4+2x=6x-8 | | 5m^2+16k^2=13m^2 | | 5y^2+4x^2=10 | | 8s+12s=160 | | x^8=-81 | | y/17=-21 | | 5b^2-21b+18=0 | | 1/2*(2x-7)=8 | | 4=-2(x)-1 | | x/5=-14 | | 15=s+p | | 1/2+(2x-7)=8 | | -(8x+1)-2=8-7x | | -7(2b+4)+(15b-7)=0 | | 12p^4-92p^3-144p^2=0 | | m-8m-3m-1= | | 45*5/9 | | 2x^4=50 | | x+16=4x+4 | | 4x+3/2=11 | | 4(3)+y=11 | | 4x-7y=11fory | | 5.9q-2.2-5.3q=-0.4q-4.3 |

Equations solver categories