6x+14=-2x(-3x-7)

Simple and best practice solution for 6x+14=-2x(-3x-7) 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 6x+14=-2x(-3x-7) equation:


Simplifying
6x + 14 = -2x(-3x + -7)

Reorder the terms:
14 + 6x = -2x(-3x + -7)

Reorder the terms:
14 + 6x = -2x(-7 + -3x)
14 + 6x = (-7 * -2x + -3x * -2x)
14 + 6x = (14x + 6x2)

Solving
14 + 6x = 14x + 6x2

Solving for variable 'x'.

Combine like terms: 6x + -14x = -8x
14 + -8x + -6x2 = 14x + 6x2 + -14x + -6x2

Reorder the terms:
14 + -8x + -6x2 = 14x + -14x + 6x2 + -6x2

Combine like terms: 14x + -14x = 0
14 + -8x + -6x2 = 0 + 6x2 + -6x2
14 + -8x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
14 + -8x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -4x + -3x2) = 0

Factor a trinomial.
2((1 + -1x)(7 + 3x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 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 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333

Solution

x = {1, -2.333333333}

See similar equations:

| 2x*2x-5x-3=0 | | 6+7x=x-8 | | a*a*a-a=0 | | 75(t)=5t^2+10t+75 | | 5(20+p)=3(30+p) | | 4x^2-78x+168=0 | | 3*-f=-3f | | 4x*4x-9=0 | | 6x+14=-2(-3x-7) | | k*k+9=10k | | -7(y-3)=-14 | | 5(3x-4)=4(2x-10) | | 7b+8n-4b+8+n= | | 5(m+1)=7(1-1) | | -5x^4+6x^3+5x=0 | | 3(u-6)=-3-24 | | y*y+2y-63=0 | | 12g-1=13g | | 16x^2+9x^2=10.24 | | Y(w)=-8w | | 15-x=6+5 | | X^2+18x-6400=0 | | -2x-8-7x+2=0 | | 16x^2+9x^2=9 | | 2x^2-kx+x+8=0 | | -4x-9=5x-45 | | 3(8-e)+2(e+2)=34 | | (x+2)-10=4x+6 | | 7x-4+2x=-2x+16 | | 5*6x=8*9x | | 8w^2+15w^3=0 | | (x+2)2-10=4x+6 |

Equations solver categories