-3(x-3)(x+7)=0

Simple and best practice solution for -3(x-3)(x+7)=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 -3(x-3)(x+7)=0 equation:


Simplifying
-3(x + -3)(x + 7) = 0

Reorder the terms:
-3(-3 + x)(x + 7) = 0

Reorder the terms:
-3(-3 + x)(7 + x) = 0

Multiply (-3 + x) * (7 + x)
-3(-3(7 + x) + x(7 + x)) = 0
-3((7 * -3 + x * -3) + x(7 + x)) = 0
-3((-21 + -3x) + x(7 + x)) = 0
-3(-21 + -3x + (7 * x + x * x)) = 0
-3(-21 + -3x + (7x + x2)) = 0

Combine like terms: -3x + 7x = 4x
-3(-21 + 4x + x2) = 0
(-21 * -3 + 4x * -3 + x2 * -3) = 0
(63 + -12x + -3x2) = 0

Solving
63 + -12x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(21 + -4x + -1x2) = 0

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

Ignore the factor 3.

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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 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 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {3, -7}

See similar equations:

| 2lx-3l-7=10 | | 8ln(2x+9)=7 | | t^2-t-12=0 | | 21-n=8 | | 2x+3+5x-9+5x+12= | | y=x^3-x^2-4x+1 | | 3(y-2)=5 | | 9x+2y=-59 | | 2g+4(-6+5g)=1-g | | X^4-x^3-3x^2+4x-4=0 | | X^4+4x^3+3x^2+4x-4=0 | | -1.77x+0=1.77x+187+(-1.77x) | | 20+30=c | | x^2+6x-20=-54 | | -16+8=-2(x+3) | | 5(4x+6)=-45+15 | | 16w^2=60+68w | | 7(h-3)=6(h-3) | | h^2+4(h)+4=0 | | x+76x-19000=5 | | 2p^2-20p-4=0 | | -13(y+3)+5(4y-7)=6(y-3)+10 | | 4(n-5)-(6-7n)=10n | | 2(x-1)=x+2 | | 3(m-5)=3m+7 | | 7x+6y=0 | | 8z+5-2z=9+5z-8 | | 5y-7=5y-y | | 14+y=9 | | 4.2z=-4(0.6z-12) | | x+12=x | | x^45=2 |

Equations solver categories