9x^2=25-30x

Simple and best practice solution for 9x^2=25-30x 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 9x^2=25-30x equation: 


Simplifying
9x2 = 25 + -30x

Solving
9x2 = 25 + -30x

Solving for variable 'x'.

Reorder the terms:
-25 + 30x + 9x2 = 25 + -30x + -25 + 30x

Reorder the terms:
-25 + 30x + 9x2 = 25 + -25 + -30x + 30x

Combine like terms: 25 + -25 = 0
-25 + 30x + 9x2 = 0 + -30x + 30x
-25 + 30x + 9x2 = -30x + 30x

Combine like terms: -30x + 30x = 0
-25 + 30x + 9x2 = 0

Begin completing the square.  Divide all terms by
9 the coefficient of the squared term: 

Divide each side by '9'.
-2.777777778 + 3.333333333x + x2 = 0

Move the constant term to the right:

Add '2.777777778' to each side of the equation.
-2.777777778 + 3.333333333x + 2.777777778 + x2 = 0 + 2.777777778

Reorder the terms:
-2.777777778 + 2.777777778 + 3.333333333x + x2 = 0 + 2.777777778

Combine like terms: -2.777777778 + 2.777777778 = 0.000000000
0.000000000 + 3.333333333x + x2 = 0 + 2.777777778
3.333333333x + x2 = 0 + 2.777777778

Combine like terms: 0 + 2.777777778 = 2.777777778
3.333333333x + x2 = 2.777777778

The x term is 3.333333333x.  Take half its coefficient (1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
3.333333333x + 2.777777779 + x2 = 2.777777778 + 2.777777779

Reorder the terms:
2.777777779 + 3.333333333x + x2 = 2.777777778 + 2.777777779

Combine like terms: 2.777777778 + 2.777777779 = 5.555555557
2.777777779 + 3.333333333x + x2 = 5.555555557

Factor a perfect square on the left side:
(x + 1.666666667)(x + 1.666666667) = 5.555555557

Calculate the square root of the right side: 2.357022604

Break this problem into two subproblems by setting 
(x + 1.666666667) equal to 2.357022604 and -2.357022604.


Subproblem 1
x + 1.666666667 = 2.357022604

Simplifying
x + 1.666666667 = 2.357022604

Reorder the terms:
1.666666667 + x = 2.357022604

Solving
1.666666667 + x = 2.357022604

Solving for variable 'x'.

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

Add '-1.666666667' to each side of the equation.
1.666666667 + -1.666666667 + x = 2.357022604 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + x = 2.357022604 + -1.666666667
x = 2.357022604 + -1.666666667

Combine like terms: 2.357022604 + -1.666666667 = 0.690355937
x = 0.690355937

Simplifying
x = 0.690355937


Subproblem 2
x + 1.666666667 = -2.357022604

Simplifying
x + 1.666666667 = -2.357022604

Reorder the terms:
1.666666667 + x = -2.357022604

Solving
1.666666667 + x = -2.357022604

Solving for variable 'x'.

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

Add '-1.666666667' to each side of the equation.
1.666666667 + -1.666666667 + x = -2.357022604 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + x = -2.357022604 + -1.666666667
x = -2.357022604 + -1.666666667

Combine like terms: -2.357022604 + -1.666666667 = -4.023689271
x = -4.023689271

Simplifying
x = -4.023689271


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.690355937, -4.023689271}

See similar equations:

| 9x^2+25-30x=0 | | (13y+8)(y-3)= | | x^2-12x=15 | | y=3x^2-12x+13 | | 5c+3=3c+5 | | (3b-2)(3b+2)= | | 7x-3=-46 | | (4b-5)(4b+5)= | | 0.11x+0.12(900-x)=104 | | 9x^4+27x^3-4x^2-12x=0 | | 4x-(3x+8)=-4 | | 2(c+1)=b | | -2(4s-1)-2=-2(8s+9)-3 | | 4c^3-500= | | t+34=23 | | x^2+20x-51=0 | | 7a-6=b | | -7+3y=4(4y-3) | | 1.2q-4.9-2.6q=-2.4q-2.2 | | (7m-3)(2m-11)= | | 2x+500=x+500+150+150 | | 3(d-5)+8d=18-(3-10d) | | x+0.625=-0.25 | | 7x+8=2(x+1) | | -3x^2+570x-5400=0 | | 3(8n-5)=-4(7-5n) | | 5x^2+2=x | | 112x^2-63= | | 3(x+2)+x=4(x-1)+10 | | 2u-5+3(2u+3)=-7(u+2) | | -8v-26=7(v+7) | | 6(x-2)=8x-4 |

Equations solver categories