(x-3)(x+4)+(x-3)(x+2)=0

Simple and best practice solution for (x-3)(x+4)+(x-3)(x+2)=0 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-3)(x+4)+(x-3)(x+2)=0 equation: 


Simplifying
(x + -3)(x + 4) + (x + -3)(x + 2) = 0

Reorder the terms:
(-3 + x)(x + 4) + (x + -3)(x + 2) = 0

Reorder the terms:
(-3 + x)(4 + x) + (x + -3)(x + 2) = 0

Multiply (-3 + x) * (4 + x)
(-3(4 + x) + x(4 + x)) + (x + -3)(x + 2) = 0
((4 * -3 + x * -3) + x(4 + x)) + (x + -3)(x + 2) = 0
((-12 + -3x) + x(4 + x)) + (x + -3)(x + 2) = 0
(-12 + -3x + (4 * x + x * x)) + (x + -3)(x + 2) = 0
(-12 + -3x + (4x + x2)) + (x + -3)(x + 2) = 0

Combine like terms: -3x + 4x = 1x
(-12 + 1x + x2) + (x + -3)(x + 2) = 0

Reorder the terms:
-12 + 1x + x2 + (-3 + x)(x + 2) = 0

Reorder the terms:
-12 + 1x + x2 + (-3 + x)(2 + x) = 0

Multiply (-3 + x) * (2 + x)
-12 + 1x + x2 + (-3(2 + x) + x(2 + x)) = 0
-12 + 1x + x2 + ((2 * -3 + x * -3) + x(2 + x)) = 0
-12 + 1x + x2 + ((-6 + -3x) + x(2 + x)) = 0
-12 + 1x + x2 + (-6 + -3x + (2 * x + x * x)) = 0
-12 + 1x + x2 + (-6 + -3x + (2x + x2)) = 0

Combine like terms: -3x + 2x = -1x
-12 + 1x + x2 + (-6 + -1x + x2) = 0

Reorder the terms:
-12 + -6 + 1x + -1x + x2 + x2 = 0

Combine like terms: -12 + -6 = -18
-18 + 1x + -1x + x2 + x2 = 0

Combine like terms: 1x + -1x = 0
-18 + 0 + x2 + x2 = 0
-18 + x2 + x2 = 0

Combine like terms: x2 + x2 = 2x2
-18 + 2x2 = 0

Solving
-18 + 2x2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '18' to each side of the equation.
-18 + 18 + 2x2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 2x2 = 0 + 18
2x2 = 0 + 18

Combine like terms: 0 + 18 = 18
2x2 = 18

Divide each side by '2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

See similar equations:

| 3/5x-29/10-x | | 2x-13=-4+x | | (2x+1)(4.5x^2-9x-27.5)=y | | -4x+9y+19=0 | | 5(11x-2)=155 | | 4x+(-x)=9 | | 7c-8=17 | | 1/5(5x-4)=4-x | | 150=y+0.6y | | 501-50= | | 150=y+6y | | 23x+50=501whatisX | | 23X+50=501 | | 6-3x=87 | | 12-5r+7s-3+8s-6r= | | 6a+5b-2a+3b= | | -7x-4=-7-4 | | 11x^2-y^2+34x+10y+65=0 | | dx^2/dy=-a*x^1.4 | | X^5/4ln(x/4)=0 | | X^5/4ln(x/4) | | ^2/5-2x-x/2=4 | | 4x+3=6x+29 | | 8(e-4)-2(e+7)= | | -4x+3=6x+29 | | 12x^4-x^2-6=0 | | 3-x/7=4 | | 3p+5w= | | 5x-6=8x-4 | | 3(8X+6)-3(4-X)=4(X-3)-2 | | x+15=25-15 | | Y=x^2-2.4x |

Equations solver categories