4x^2-21x+23=-5x+8

Simple and best practice solution for 4x^2-21x+23=-5x+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^2-21x+23=-5x+8 equation: 


Simplifying
4x2 + -21x + 23 = -5x + 8

Reorder the terms:
23 + -21x + 4x2 = -5x + 8

Reorder the terms:
23 + -21x + 4x2 = 8 + -5x

Solving
23 + -21x + 4x2 = 8 + -5x

Solving for variable 'x'.

Reorder the terms:
23 + -8 + -21x + 5x + 4x2 = 8 + -5x + -8 + 5x

Combine like terms: 23 + -8 = 15
15 + -21x + 5x + 4x2 = 8 + -5x + -8 + 5x

Combine like terms: -21x + 5x = -16x
15 + -16x + 4x2 = 8 + -5x + -8 + 5x

Reorder the terms:
15 + -16x + 4x2 = 8 + -8 + -5x + 5x

Combine like terms: 8 + -8 = 0
15 + -16x + 4x2 = 0 + -5x + 5x
15 + -16x + 4x2 = -5x + 5x

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

| ax-5=bforx | | 2x^3-10x^2-28x= | | 3d(d-4)+2d= | | -7+6x=13x | | x+38= | | 6(v+4)+6= | | 2c(5-c)+12c= | | -11-59=6(5a+4) | | 3(c-2)+2= | | -5x+(1+x)=13 | | A=(2x+1)(4x-7)-(2x+1)2 | | 8(1+5x)+15=13+5x | | 2x^2-x=10y | | X+.4X=82 | | -8x(-5x-6)=6x-22 | | 2(x-2)+5(2-x)=3(2x+2) | | (X-2y)(3x-5y)=3x^2+1xy-10y^2 | | 3n-4n=-14 | | -5a^2+260=0 | | -12x-48= | | 4x^2-9x-2.5=0 | | 25-3x=9-7x | | 5(4x+3)+6x-12= | | 4x^2+0.106x-0.106=0 | | 5x+7=-42-2 | | 2(6x+6)+4(10-x)= | | A=(4x-7) | | 2t-8=15 | | 2(x-2)+10(x+9)= | | 6x-5=13x+33 | | x^3=19x+30 | | 10v=-2 |

Equations solver categories