25x^2+45x+10=5x+3

Simple and best practice solution for 25x^2+45x+10=5x+3 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 25x^2+45x+10=5x+3 equation: 


Simplifying
25x2 + 45x + 10 = 5x + 3

Reorder the terms:
10 + 45x + 25x2 = 5x + 3

Reorder the terms:
10 + 45x + 25x2 = 3 + 5x

Solving
10 + 45x + 25x2 = 3 + 5x

Solving for variable 'x'.

Reorder the terms:
10 + -3 + 45x + -5x + 25x2 = 3 + 5x + -3 + -5x

Combine like terms: 10 + -3 = 7
7 + 45x + -5x + 25x2 = 3 + 5x + -3 + -5x

Combine like terms: 45x + -5x = 40x
7 + 40x + 25x2 = 3 + 5x + -3 + -5x

Reorder the terms:
7 + 40x + 25x2 = 3 + -3 + 5x + -5x

Combine like terms: 3 + -3 = 0
7 + 40x + 25x2 = 0 + 5x + -5x
7 + 40x + 25x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
7 + 40x + 25x2 = 0

Factor a trinomial.
(7 + 5x)(1 + 5x) = 0


Subproblem 1
Set the factor '(7 + 5x)' equal to zero and attempt to solve:

Simplifying
7 + 5x = 0

Solving
7 + 5x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 0 + -7
5x = 0 + -7

Combine like terms: 0 + -7 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4

Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-1.4, -0.2}

See similar equations:

| 1/2x-2/3=-18 | | 11x^2-84x+24=0 | | 144=1r-2r | | (3x+18)+15x=180 | | 5x-51=-6 | | 9x^2-6x+1-16x^2+8xy-y^2= | | -r+2=6 | | 8x+10y=160 | | 180-x=270-3x | | 3x+1+x-16+x=180 | | 5h-6(4h+10)= | | X-5(x+2)=x+9-6x | | 4[5-(-6x-1)]=192x+52 | | 69-x=85-2x | | C-12=.5c+19 | | -2-3-1=5 | | 2a-6(7a+14)= | | x^2-5x+300=0 | | 8n+-20-28n=-2(n+1) | | (5y+1)(2+y)=0 | | 6n-4(3n+12)= | | 90k^2+186k=-84 | | 25(3-4n)= | | 40x+21.5x=1200 | | 40x+21.25x=550 | | 55+3= | | 12(5y-3)= | | 5(4b+13)+3(8b-11)= | | 4800m+65= | | 3(2n-4)+7n+2= | | 40x+15*1.5x=500 | | 3x-8+2x+7= |

Equations solver categories