(x+4)(x-6)=(2x+3)(x-6)

Simple and best practice solution for (x+4)(x-6)=(2x+3)(x-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 (x+4)(x-6)=(2x+3)(x-6) equation:


Simplifying
(x + 4)(x + -6) = (2x + 3)(x + -6)

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

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

Multiply (4 + x) * (-6 + x)
(4(-6 + x) + x(-6 + x)) = (2x + 3)(x + -6)
((-6 * 4 + x * 4) + x(-6 + x)) = (2x + 3)(x + -6)
((-24 + 4x) + x(-6 + x)) = (2x + 3)(x + -6)
(-24 + 4x + (-6 * x + x * x)) = (2x + 3)(x + -6)
(-24 + 4x + (-6x + x2)) = (2x + 3)(x + -6)

Combine like terms: 4x + -6x = -2x
(-24 + -2x + x2) = (2x + 3)(x + -6)

Reorder the terms:
-24 + -2x + x2 = (3 + 2x)(x + -6)

Reorder the terms:
-24 + -2x + x2 = (3 + 2x)(-6 + x)

Multiply (3 + 2x) * (-6 + x)
-24 + -2x + x2 = (3(-6 + x) + 2x * (-6 + x))
-24 + -2x + x2 = ((-6 * 3 + x * 3) + 2x * (-6 + x))
-24 + -2x + x2 = ((-18 + 3x) + 2x * (-6 + x))
-24 + -2x + x2 = (-18 + 3x + (-6 * 2x + x * 2x))
-24 + -2x + x2 = (-18 + 3x + (-12x + 2x2))

Combine like terms: 3x + -12x = -9x
-24 + -2x + x2 = (-18 + -9x + 2x2)

Solving
-24 + -2x + x2 = -18 + -9x + 2x2

Solving for variable 'x'.

Reorder the terms:
-24 + 18 + -2x + 9x + x2 + -2x2 = -18 + -9x + 2x2 + 18 + 9x + -2x2

Combine like terms: -24 + 18 = -6
-6 + -2x + 9x + x2 + -2x2 = -18 + -9x + 2x2 + 18 + 9x + -2x2

Combine like terms: -2x + 9x = 7x
-6 + 7x + x2 + -2x2 = -18 + -9x + 2x2 + 18 + 9x + -2x2

Combine like terms: x2 + -2x2 = -1x2
-6 + 7x + -1x2 = -18 + -9x + 2x2 + 18 + 9x + -2x2

Reorder the terms:
-6 + 7x + -1x2 = -18 + 18 + -9x + 9x + 2x2 + -2x2

Combine like terms: -18 + 18 = 0
-6 + 7x + -1x2 = 0 + -9x + 9x + 2x2 + -2x2
-6 + 7x + -1x2 = -9x + 9x + 2x2 + -2x2

Combine like terms: -9x + 9x = 0
-6 + 7x + -1x2 = 0 + 2x2 + -2x2
-6 + 7x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-6 + 7x + -1x2 = 0

Factor a trinomial.
(-6 + x)(1 + -1x) = 0

Subproblem 1

Set the factor '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6

Subproblem 2

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

Solution

x = {6, 1}

See similar equations:

| (6x+2)(4x+8)= | | 3/12= | | f=-5(-x)-7 | | 5x-3+2x+8= | | f=-5x(-x)-7 | | 5+5[c-4(c-3)]= | | f=-4(-2)+6 | | z^2+7-72=0 | | 1/10(3x-7)=3-10x+5 | | f=-2(-14)+12 | | 8z+5(6+2)+20= | | x^2-36x+72=0 | | 2x-5+3x+15=90 | | 2-7n+2n=3-96 | | 4(c-3)+8=2+c-6 | | f(-14)=-2x+12 | | -28+6k=k-2k | | 16s^2+72s+81=0 | | 6(x+7)= | | -2y^2+8=0 | | 3X-5=-12X+2 | | (2x^2+10)(5-x^2)= | | 4s^2-16=0 | | -4y+6w=6 | | 11000=27.5(190+b) | | (2x+6)(2x+4)= | | 4v^2-36v=0 | | p(x)=-0.1t^2+1.5t | | 6y^2-3y=0 | | 8x^8+9x^6-x+7-(6x^8+4x^7+5)= | | 214=2l(w+3)+2w | | 5.9-4.166= |

Equations solver categories