4a^2-9=9a

Simple and best practice solution for 4a^2-9=9a 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 4a^2-9=9a equation:


Simplifying
4a2 + -9 = 9a

Reorder the terms:
-9 + 4a2 = 9a

Solving
-9 + 4a2 = 9a

Solving for variable 'a'.

Reorder the terms:
-9 + -9a + 4a2 = 9a + -9a

Combine like terms: 9a + -9a = 0
-9 + -9a + 4a2 = 0

Factor a trinomial.
(-3 + -4a)(3 + -1a) = 0

Subproblem 1

Set the factor '(-3 + -4a)' equal to zero and attempt to solve: Simplifying -3 + -4a = 0 Solving -3 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4a = 0 + 3 -4a = 0 + 3 Combine like terms: 0 + 3 = 3 -4a = 3 Divide each side by '-4'. a = -0.75 Simplifying a = -0.75

Subproblem 2

Set the factor '(3 + -1a)' equal to zero and attempt to solve: Simplifying 3 + -1a = 0 Solving 3 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 0 + -3 -1a = 0 + -3 Combine like terms: 0 + -3 = -3 -1a = -3 Divide each side by '-1'. a = 3 Simplifying a = 3

Solution

a = {-0.75, 3}

See similar equations:

| 8(n+4)=2n-10 | | 5x+2=3x-4 | | 2x-4y=14 | | c^2-16=0 | | 3(5x-7)(2x+3)=0 | | 2y-1x=-6 | | c^2-7c+12=0 | | y=5(x+3)(x+-2) | | p+z-9=70 | | b^2+4=4b | | (c+14)(c-16)=0 | | y=2(x+-4)(x+5) | | 3(5x-4)(3x+2)=0 | | 5p-i=9 | | 12*2x= | | 4(m+3)-7m=54 | | w^2-11w+28=0 | | y=4(x+-3)(x+7) | | -b+5+11b=-55 | | 10+5(z-2)=-4z+7 | | 12+3(z-4)=-6z+5 | | 3(m-1)+4m=-73 | | 9+3(z-3)=-3z+5 | | 9+3(z-3)=-2z+1 | | y=5(x+2)(x+-4) | | -3(1+6x)=14-x | | 33523d-3358=3245655d+25998490 | | X-(-2)=4 | | 3d-3358=355d+25 | | 10+5(z-2)=-4+7 | | 3d-8=5d+25 | | 1809+x=1868 |

Equations solver categories