4x^2-25x+21=-6x+9

Simple and best practice solution for 4x^2-25x+21=-6x+9 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 4x^2-25x+21=-6x+9 equation: 


Simplifying
4x2 + -25x + 21 = -6x + 9

Reorder the terms:
21 + -25x + 4x2 = -6x + 9

Reorder the terms:
21 + -25x + 4x2 = 9 + -6x

Solving
21 + -25x + 4x2 = 9 + -6x

Solving for variable 'x'.

Reorder the terms:
21 + -9 + -25x + 6x + 4x2 = 9 + -6x + -9 + 6x

Combine like terms: 21 + -9 = 12
12 + -25x + 6x + 4x2 = 9 + -6x + -9 + 6x

Combine like terms: -25x + 6x = -19x
12 + -19x + 4x2 = 9 + -6x + -9 + 6x

Reorder the terms:
12 + -19x + 4x2 = 9 + -9 + -6x + 6x

Combine like terms: 9 + -9 = 0
12 + -19x + 4x2 = 0 + -6x + 6x
12 + -19x + 4x2 = -6x + 6x

Combine like terms: -6x + 6x = 0
12 + -19x + 4x2 = 0

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


Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve:

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = 0 + -3
-4x = 0 + -3

Combine like terms: 0 + -3 = -3
-4x = -3

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying
4 + -1x = 0

Solving
4 + -1x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4
Solution
x = {0.75, 4}

See similar equations:

| 3*x-(35+4*x)=26-2*x | | 3x^2+8x-2800=0 | | x^2+13x+3=8x-3 | | 30Y+5.9Z=500 | | x+7y=110 | | x^2-9x+12=2x+2 | | a^5b^2-a^2b^4+2a^4b-2ab^3+a^3-b^2=0 | | x^2-12x+35=8 | | 8XY-6XY= | | 12x+13=44 | | -34=y+9 | | -23=y-18 | | 2a-4=2-a | | x(13-x)=36 | | 9x15/6 | | 13x-x^2=36 | | 130/1.25= | | 3x+3x^2+2=38 | | 130/1.25=× | | b^4-18b^2+81=0 | | 6y+10=15y+1 | | X^3-6x^2=27x | | x^6+19x^3+18=0 | | 10x=60-50x | | (X+25)+5=x | | 4=3y | | 2x^2+7x-2800=0 | | (-2ab)(56ab)= | | 2y=5y-4 | | 38x+1=9(4x-7) | | 3(x+8)-7=0 | | 5y^4=-2y+3 |

Equations solver categories