4x^2-21x+21=-5x+6

Simple and best practice solution for 4x^2-21x+21=-5x+6 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+21=-5x+6 equation: 


Simplifying
4x2 + -21x + 21 = -5x + 6

Reorder the terms:
21 + -21x + 4x2 = -5x + 6

Reorder the terms:
21 + -21x + 4x2 = 6 + -5x

Solving
21 + -21x + 4x2 = 6 + -5x

Solving for variable 'x'.

Reorder the terms:
21 + -6 + -21x + 5x + 4x2 = 6 + -5x + -6 + 5x

Combine like terms: 21 + -6 = 15
15 + -21x + 5x + 4x2 = 6 + -5x + -6 + 5x

Combine like terms: -21x + 5x = -16x
15 + -16x + 4x2 = 6 + -5x + -6 + 5x

Reorder the terms:
15 + -16x + 4x2 = 6 + -6 + -5x + 5x

Combine like terms: 6 + -6 = 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:

| -10x-60=3x+73 | | -108+5x=124-3x | | (3-2x)=(3-x) | | 6=-5x^2+11x | | 6=-5x+11x | | 36=-x^2+12x | | 15m^2-19m+6=0 | | -6r^2-50r+36=(-5r+9)(r+9) | | y=-220x+200 | | y=-220x+200graph | | 2=-4x^2-5x | | 6=-2x^2-5x | | -64=x^2-16x | | x^2+7x=-6 | | 6x^7+16x^6+8x^5= | | 4=x^2-8x | | -3w^2+8w+16=0 | | -1=3x^2+2x | | 7x+10=4x | | 5a^2-10a=0 | | y^2-6y=-8 | | 15z^2-68z=35 | | (y+10)(y-4)=0 | | 6k=43 | | y(y-10)=-16 | | y(y-10)=16 | | y^2=-11y | | (z-5)(z+4)=52 | | b(b+3)=28 | | x^3+x^2-25x-25=0 | | 0.5(3-2x)=0.3(3-x) | | 255+987= |

Equations solver categories