4x^2-9x+21=6x+7

Simple and best practice solution for 4x^2-9x+21=6x+7 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^2-9x+21=6x+7 equation: 


Simplifying
4x2 + -9x + 21 = 6x + 7

Reorder the terms:
21 + -9x + 4x2 = 6x + 7

Reorder the terms:
21 + -9x + 4x2 = 7 + 6x

Solving
21 + -9x + 4x2 = 7 + 6x

Solving for variable 'x'.

Reorder the terms:
21 + -7 + -9x + -6x + 4x2 = 7 + 6x + -7 + -6x

Combine like terms: 21 + -7 = 14
14 + -9x + -6x + 4x2 = 7 + 6x + -7 + -6x

Combine like terms: -9x + -6x = -15x
14 + -15x + 4x2 = 7 + 6x + -7 + -6x

Reorder the terms:
14 + -15x + 4x2 = 7 + -7 + 6x + -6x

Combine like terms: 7 + -7 = 0
14 + -15x + 4x2 = 0 + 6x + -6x
14 + -15x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
14 + -15x + 4x2 = 0

Factor a trinomial.
(7 + -4x)(2 + -1x) = 0


Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {1.75, 2}

See similar equations:

| 3x=7-2x | | x^2+18x+26=-4x+2 | | x^2(x+9)=400 | | log[5](x+5)-log[5](x-5)=2 | | 5-(f+3)=-1+2(f-3) | | -3k(k^(7/5)-4k^(2/5)) | | sin^2x=-sinx | | 9x+5y=18 | | (8x*3y+67)=d | | 2=a/5 | | x(x-3)/2=2700 | | (-4ax)(3xy)= | | ((42x^7y)/(3xy4))*((6x^3y^4)/(7y^3x^5)) | | n(n-3)/2=2700 | | 10*x-3*x^2=0 | | -7=3*cos*2*x+7*sin*x | | x/24=5/8 | | 2x+4xy-4xy= | | 3x-12=4x+11 | | (1-x)*((2x-x^2)^1/2) | | 35/4=7/x | | 2x(2y+1)= | | S^2=-45-14s | | 2sin^2x-15sinx+7=0 | | -7y-4=4-5y+5y | | -10x+10y=15 | | 77=7j | | 2x+40=12x+70 | | 6x-14=7x+3 | | 12/15=x/3 | | 4cos^2=3 | | f(x)=9ln(x) |

Equations solver categories