12x^2+10x-5=2(x-3)

Simple and best practice solution for 12x^2+10x-5=2(x-3) 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 12x^2+10x-5=2(x-3) equation:


Simplifying
12x2 + 10x + -5 = 2(x + -3)

Reorder the terms:
-5 + 10x + 12x2 = 2(x + -3)

Reorder the terms:
-5 + 10x + 12x2 = 2(-3 + x)
-5 + 10x + 12x2 = (-3 * 2 + x * 2)
-5 + 10x + 12x2 = (-6 + 2x)

Solving
-5 + 10x + 12x2 = -6 + 2x

Solving for variable 'x'.

Reorder the terms:
-5 + 6 + 10x + -2x + 12x2 = -6 + 2x + 6 + -2x

Combine like terms: -5 + 6 = 1
1 + 10x + -2x + 12x2 = -6 + 2x + 6 + -2x

Combine like terms: 10x + -2x = 8x
1 + 8x + 12x2 = -6 + 2x + 6 + -2x

Reorder the terms:
1 + 8x + 12x2 = -6 + 6 + 2x + -2x

Combine like terms: -6 + 6 = 0
1 + 8x + 12x2 = 0 + 2x + -2x
1 + 8x + 12x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 8x + 12x2 = 0

Factor a trinomial.
(1 + 2x)(1 + 6x) = 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 '(1 + 6x)' equal to zero and attempt to solve: Simplifying 1 + 6x = 0 Solving 1 + 6x = 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 + 6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 0 + -1 6x = 0 + -1 Combine like terms: 0 + -1 = -1 6x = -1 Divide each side by '6'. x = -0.1666666667 Simplifying x = -0.1666666667

Solution

x = {-0.5, -0.1666666667}

See similar equations:

| 5x-180=x | | 2(x+5)+7x=9x-10 | | 19.15=0.864x*x | | 20=5(x+1) | | (2q)+(2q-22)+(q+44)+(2q)+(106)+(q+32)=720 | | 25-3y=10 | | 4x^2-5=2 | | -x^2+13x-12=18x-24 | | 160=-16t^2+112vt+112t | | 19150=0.864x*x | | -0.50x+2=2x+12 | | 4p-12=28 | | 4x+2x-7=-1 | | 15=-(8n+5)-4(6n+3) | | -16+8x-5x=7x+8x-2 | | 7+3w=61 | | d-(-31)=24 | | 5x+3x+12=36 | | 5X+8-9X=-2(3-2X) | | (5a)+(116)+(110)+(5a+28)+(114)+(6a)=720 | | 23=5+r | | -7.2-(-10.1)= | | x^2-13=51 | | -2x-5x+10=0 | | 19150=10.3x*8.9x | | 0.5x-5y=30 | | ln(2t+7)=ln(3)-ln(t+1) | | 8+9x^2=53 | | (3c-13)+(3c-12)+(5c-45)+(c-3)+(5c-50)=540 | | -3.1+6.8= | | 6x^3-4x^2-42x=0 | | 3x+6y=129 |

Equations solver categories