x^2-7x-21=3x+3

Simple and best practice solution for x^2-7x-21=3x+3 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^2-7x-21=3x+3 equation:


Simplifying
x2 + -7x + -21 = 3x + 3

Reorder the terms:
-21 + -7x + x2 = 3x + 3

Reorder the terms:
-21 + -7x + x2 = 3 + 3x

Solving
-21 + -7x + x2 = 3 + 3x

Solving for variable 'x'.

Reorder the terms:
-21 + -3 + -7x + -3x + x2 = 3 + 3x + -3 + -3x

Combine like terms: -21 + -3 = -24
-24 + -7x + -3x + x2 = 3 + 3x + -3 + -3x

Combine like terms: -7x + -3x = -10x
-24 + -10x + x2 = 3 + 3x + -3 + -3x

Reorder the terms:
-24 + -10x + x2 = 3 + -3 + 3x + -3x

Combine like terms: 3 + -3 = 0
-24 + -10x + x2 = 0 + 3x + -3x
-24 + -10x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-24 + -10x + x2 = 0

Factor a trinomial.
(-2 + -1x)(12 + -1x) = 0


Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {-2, 12}

See similar equations:

| 8c+7=-345 | | f(x)=x^2+7x+15 | | 2x-40=4x+12 | | y=x^2+0x+22 | | x^2-12x+42=10 | | M+87=13 | | a=2g+c | | 3(6x+2)=-5(1-7x) | | -2x+11=3(x+5)+8x | | 2r+8=96 | | 6x+4=x+17 | | u/3-8=3 | | x^2-11x-25=-6x-1 | | y=38x+44 | | -2y+6=11y-2 | | v/2-7=3 | | 8b+8+3b-9= | | R-19=8 | | 38x+6y=280 | | (X/6)-(x-8)=5/12 | | 2x-x+7=4x+2 | | x^3=5cos^2x | | 5x+3=11x-9 | | 9a^4-4b^4=0 | | 3y=5(y-4) | | -10y=-10+4x | | 4c=-136 | | 2x+8=(x+4) | | -4b=-20 | | 2x+4y-5=0 | | 4x-2+3x+4=173 | | 3*(2x+4)=-x-9 |

Equations solver categories