4x^2-9x+17=7x+2

Simple and best practice solution for 4x^2-9x+17=7x+2 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+17=7x+2 equation: 


Simplifying
4x2 + -9x + 17 = 7x + 2

Reorder the terms:
17 + -9x + 4x2 = 7x + 2

Reorder the terms:
17 + -9x + 4x2 = 2 + 7x

Solving
17 + -9x + 4x2 = 2 + 7x

Solving for variable 'x'.

Reorder the terms:
17 + -2 + -9x + -7x + 4x2 = 2 + 7x + -2 + -7x

Combine like terms: 17 + -2 = 15
15 + -9x + -7x + 4x2 = 2 + 7x + -2 + -7x

Combine like terms: -9x + -7x = -16x
15 + -16x + 4x2 = 2 + 7x + -2 + -7x

Reorder the terms:
15 + -16x + 4x2 = 2 + -2 + 7x + -7x

Combine like terms: 2 + -2 = 0
15 + -16x + 4x2 = 0 + 7x + -7x
15 + -16x + 4x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
15 + -16x + 4x2 = 0

Factor a trinomial.
(3 + -2x)(5 + -2x) = 0


Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {1.5, 2.5}

See similar equations:

| 6ln(3x)=8 | | y+10+2y=25 | | f=0.5*x^2-1.5*x-0.375 | | 5a+3=12+2a | | 4(x+1)=16 | | =0.5*x^2-1.5*x-0.375 | | 3x+(-x)= | | 20x+75=30x+50 | | 3(y+2)=12 | | 2a-4=18-9a | | 102.8=g+66.09 | | y=-16t^2+18t+10 | | k^2+13k+30=0 | | 9a^2+4a^2-8a^3= | | x^2-14x+3=-9x-3 | | x=0.5*x^2-1.5*x-0.375 | | 5(z+3)=12 | | 7g-12=13 | | 4.7(2f-0.5)=-6(1.6f-8.3f) | | x^2+5x-26=10 | | 212-6x=30x+24 | | 2.7(z-7)+6=2.1(3z+1) | | 18(x+18)=21 | | 8(4a+2b)-4(a+5b)= | | 5-8x=56-29 | | 4x-2=2x+6 | | 4x^3-20x^2-9x+45=0 | | 96-2x=25x+18 | | 3(4a+1)=3-7a | | 2m^2+9m+7=4 | | 0.77*x=1 | | -j+7=-32 |

Equations solver categories