(x-6)(x+7)=3(x-9)

Simple and best practice solution for (x-6)(x+7)=3(x-9) 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-6)(x+7)=3(x-9) equation:


Simplifying
(x + -6)(x + 7) = 3(x + -9)

Reorder the terms:
(-6 + x)(x + 7) = 3(x + -9)

Reorder the terms:
(-6 + x)(7 + x) = 3(x + -9)

Multiply (-6 + x) * (7 + x)
(-6(7 + x) + x(7 + x)) = 3(x + -9)
((7 * -6 + x * -6) + x(7 + x)) = 3(x + -9)
((-42 + -6x) + x(7 + x)) = 3(x + -9)
(-42 + -6x + (7 * x + x * x)) = 3(x + -9)
(-42 + -6x + (7x + x2)) = 3(x + -9)

Combine like terms: -6x + 7x = 1x
(-42 + 1x + x2) = 3(x + -9)

Reorder the terms:
-42 + 1x + x2 = 3(-9 + x)
-42 + 1x + x2 = (-9 * 3 + x * 3)
-42 + 1x + x2 = (-27 + 3x)

Solving
-42 + 1x + x2 = -27 + 3x

Solving for variable 'x'.

Reorder the terms:
-42 + 27 + 1x + -3x + x2 = -27 + 3x + 27 + -3x

Combine like terms: -42 + 27 = -15
-15 + 1x + -3x + x2 = -27 + 3x + 27 + -3x

Combine like terms: 1x + -3x = -2x
-15 + -2x + x2 = -27 + 3x + 27 + -3x

Reorder the terms:
-15 + -2x + x2 = -27 + 27 + 3x + -3x

Combine like terms: -27 + 27 = 0
-15 + -2x + x2 = 0 + 3x + -3x
-15 + -2x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + -2x + x2 = 0

Factor a trinomial.
(-3 + -1x)(5 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {-3, 5}

See similar equations:

| -8x=6x-15 | | -18y+13y+3=3(5y-1)-2 | | -27=-24(1)-b | | 39.95+9.8+0.32m=70.32 | | -8=6x-15 | | 75=m-50 | | 45+w+15+w=180 | | 0=x^3-4x^2+x-6 | | 1/6x-7 | | 3/4x^2=27 | | f(x)=x^3-4x^2+x-6 | | 15=15(1)+b | | -2x-2y=-12 | | 4x-4+22=5x-2+9x | | 2x-4(0)=-7 | | -9+8(1-6x)=-28 | | 20=8(2)+b | | 1/2x-5 | | 0+6=-2(x-3) | | (x-11)+(x-3)=0 | | 4(k-5)-3(k+2)-14=-34 | | 6+35X=28X+12 | | 1(t)=10e-.2t | | dy/dx(ln6x) | | 1/5y=20 | | y+6=-2(0-3) | | 2secx+2=6 | | 1m+13=m+23 | | 40+0.25=25+0.45 | | 2.5x+3.5= | | -3z-5+9z=-30 | | -6(2w+1)-w=46 |

Equations solver categories