9x^2-25=30x-50

Simple and best practice solution for 9x^2-25=30x-50 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-50 equation: 


Simplifying
9x2 + -25 = 30x + -50

Reorder the terms:
-25 + 9x2 = 30x + -50

Reorder the terms:
-25 + 9x2 = -50 + 30x

Solving
-25 + 9x2 = -50 + 30x

Solving for variable 'x'.

Reorder the terms:
-25 + 50 + -30x + 9x2 = -50 + 30x + 50 + -30x

Combine like terms: -25 + 50 = 25
25 + -30x + 9x2 = -50 + 30x + 50 + -30x

Reorder the terms:
25 + -30x + 9x2 = -50 + 50 + 30x + -30x

Combine like terms: -50 + 50 = 0
25 + -30x + 9x2 = 0 + 30x + -30x
25 + -30x + 9x2 = 30x + -30x

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

Factor a trinomial.
(5 + -3x)(5 + -3x) = 0


Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {1.666666667, 1.666666667}

See similar equations:

| 9x^2=30x-50 | | 6(y+3)(6-5y)=0 | | 2x-8=52-2x | | (x-3)(3x+8)=0 | | -2x^2+x+6=0 | | 25v^2+5v-42= | | 8-10x=-77+5x | | 7x+3= | | X^5-10x^3+12x=0 | | x^2+42=3x | | x^2+3x-31=-3 | | 5y-y+7y= | | 10x-2(4x-8)=20 | | 6[2-(2x-5)]=2(-3-3x) | | 6[2-(2x-4)]=2(12-3x) | | -3c+2=-10 | | 5n+40=50 | | 9a+7-4a=-33 | | k-23=-31 | | -x^2+x+4=0 | | 6x^2-28x+16=0 | | 42x^2-25=0 | | 3(2c-1)-1=3c+5 | | a=4b | | 9(x+4)=3x-24 | | -8(t+6)=0 | | 6(x+6)=12x+24 | | 5x+9=-31 | | 25-(2x+9)=2(x+3)+x | | x+19+2x=-14-2x-17 | | 20-2x=17+x | | 4x+7-9x=13-16x+11x-6 |

Equations solver categories