4x^2-19x+17=-3x+10

Simple and best practice solution for 4x^2-19x+17=-3x+10 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^2-19x+17=-3x+10 equation: 


Simplifying
4x2 + -19x + 17 = -3x + 10

Reorder the terms:
17 + -19x + 4x2 = -3x + 10

Reorder the terms:
17 + -19x + 4x2 = 10 + -3x

Solving
17 + -19x + 4x2 = 10 + -3x

Solving for variable 'x'.

Reorder the terms:
17 + -10 + -19x + 3x + 4x2 = 10 + -3x + -10 + 3x

Combine like terms: 17 + -10 = 7
7 + -19x + 3x + 4x2 = 10 + -3x + -10 + 3x

Combine like terms: -19x + 3x = -16x
7 + -16x + 4x2 = 10 + -3x + -10 + 3x

Reorder the terms:
7 + -16x + 4x2 = 10 + -10 + -3x + 3x

Combine like terms: 10 + -10 = 0
7 + -16x + 4x2 = 0 + -3x + 3x
7 + -16x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
7 + -16x + 4x2 = 0

Factor a trinomial.
(1 + -2x)(7 + -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 '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {0.5, 3.5}

See similar equations:

| 12x+5x=51 | | 16=3y-8 | | 43-3X=7X+16 | | 17x+12x=87 | | 11=2x-1 | | -7+x=-14 | | 10x+40x=156 | | y-3y+5.6=-6(y-3.6) | | 5x^2-6x-2=0 | | 7x+30= | | 38-3x=6x+23 | | 83=8y+11 | | 91=5*n+6 | | 35x-2.5x=65 | | 7-7x=115-35x | | 0.3333333x-2=0 | | 3q+5q=9+4q | | 21p=3 | | 91=5xn+6 | | x^2+8x-5=6x+3 | | 16x+12x=84 | | 159-4x=5x+24 | | x^2-7x+15=5 | | 19x-7x=84 | | x^2-7x+15=0 | | -5m+6=45+8m | | 23x+27x=100 | | 243-2x=43x+23 | | -8x=-16 | | 3-7t=24 | | 8-9x=58-23x | | x/5=-2 |

Equations solver categories