21x^2=4x+1

Simple and best practice solution for 21x^2=4x+1 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 21x^2=4x+1 equation:


Simplifying
21x2 = 4x + 1

Reorder the terms:
21x2 = 1 + 4x

Solving
21x2 = 1 + 4x

Solving for variable 'x'.

Reorder the terms:
-1 + -4x + 21x2 = 1 + 4x + -1 + -4x

Reorder the terms:
-1 + -4x + 21x2 = 1 + -1 + 4x + -4x

Combine like terms: 1 + -1 = 0
-1 + -4x + 21x2 = 0 + 4x + -4x
-1 + -4x + 21x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -4x + 21x2 = 0

Factor a trinomial.
(-1 + -7x)(1 + -3x) = 0

Subproblem 1

Set the factor '(-1 + -7x)' equal to zero and attempt to solve: Simplifying -1 + -7x = 0 Solving -1 + -7x = 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 + -7x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -7x = 0 + 1 -7x = 0 + 1 Combine like terms: 0 + 1 = 1 -7x = 1 Divide each side by '-7'. x = -0.1428571429 Simplifying x = -0.1428571429

Subproblem 2

Set the factor '(1 + -3x)' equal to zero and attempt to solve: Simplifying 1 + -3x = 0 Solving 1 + -3x = 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 + -3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 0 + -1 -3x = 0 + -1 Combine like terms: 0 + -1 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333

Solution

x = {-0.1428571429, 0.3333333333}

See similar equations:

| 3.7-(8,1x+5,4)-(2,6x+8,3)=-3,1x+(8-1,6x) | | -4=x/2-1 | | 1/3x=-8 | | 6=4r+2r | | -5n-3n=16 | | -(3y+2)-(-2y-5)=-3 | | 3a-7=2a+2 | | 7x-6+x=3x+5 | | -12=-3x-x | | 6x+10-8x=14 | | 46.12-29=x/8 | | 5b=15a | | 9x-4(3x-8)=10 | | 0.24(24)+0.04x=0.08(6+x) | | 4x+3x+5=x | | n-4-2n=-7 | | -7-7a=98 | | 7x+2+4x=90 | | 6v-4+5v=-4 | | 23=3[4x-10] | | 6v-4+5=-4 | | 0.7w-0.4w+0.2w=2 | | factorx^4+8x^3-20x^2-72x-63=y | | -3(k-1)=24 | | -3a+5b+6(-2a)=0 | | 3x-7=2(x+5)+1 | | -8=-4+2x-6x | | x^2+13x-48= | | 6(2x+12)=8(x+8) | | 2a+g=0 | | -3(10+n)=-72 | | 8(0.4+x)=10(4.8-2x) |

Equations solver categories