4x^2-27x+17=-7x+8

Simple and best practice solution for 4x^2-27x+17=-7x+8 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^2-27x+17=-7x+8 equation: 


Simplifying
4x2 + -27x + 17 = -7x + 8

Reorder the terms:
17 + -27x + 4x2 = -7x + 8

Reorder the terms:
17 + -27x + 4x2 = 8 + -7x

Solving
17 + -27x + 4x2 = 8 + -7x

Solving for variable 'x'.

Reorder the terms:
17 + -8 + -27x + 7x + 4x2 = 8 + -7x + -8 + 7x

Combine like terms: 17 + -8 = 9
9 + -27x + 7x + 4x2 = 8 + -7x + -8 + 7x

Combine like terms: -27x + 7x = -20x
9 + -20x + 4x2 = 8 + -7x + -8 + 7x

Reorder the terms:
9 + -20x + 4x2 = 8 + -8 + -7x + 7x

Combine like terms: 8 + -8 = 0
9 + -20x + 4x2 = 0 + -7x + 7x
9 + -20x + 4x2 = -7x + 7x

Combine like terms: -7x + 7x = 0
9 + -20x + 4x2 = 0

Factor a trinomial.
(1 + -2x)(9 + -2x) = 0


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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {0.5, 4.5}

See similar equations:

| -x+15=f(15) | | 8x+5+12-6x=30 | | 2x+183=9x+6 | | 9-(2x-4)=-2+3x | | -0.08769x^2+1.7269x+2=0 | | 3(x-8)=4 | | 5(2x-3)=10 | | 3(3x+1)=12 | | x^2+4x+8=-2x+3 | | g(x)=3x+9 | | 4x+20=2.5x+35 | | -5t^2+10t+50=0 | | (w+9)(w-9)= | | 49x^2-4= | | 5t^2+10t+50=0 | | 24x^2-96x+116=0 | | 24x^2-96x+116=o | | 26x-7=20x+17 | | 5x=212 | | 3x+21=4x+9 | | -.5x+5=4 | | 5+m+4m=72 | | 12x^2+11x-6=0 | | .10X=62 | | 1.10X=62 | | 7x-2=3x-18 | | -25-3x=-8x | | 94-3x=24x+22 | | 4x=11x-21 | | .10xX=62 | | 4x=11-21 | | (5d^3)(-2d^2)= |

Equations solver categories