3(x-7)(x+3)-10(x+3)=0

Simple and best practice solution for 3(x-7)(x+3)-10(x+3)=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-7)(x+3)-10(x+3)=0 equation: 


Simplifying
3(x + -7)(x + 3) + -10(x + 3) = 0

Reorder the terms:
3(-7 + x)(x + 3) + -10(x + 3) = 0

Reorder the terms:
3(-7 + x)(3 + x) + -10(x + 3) = 0

Multiply (-7 + x) * (3 + x)
3(-7(3 + x) + x(3 + x)) + -10(x + 3) = 0
3((3 * -7 + x * -7) + x(3 + x)) + -10(x + 3) = 0
3((-21 + -7x) + x(3 + x)) + -10(x + 3) = 0
3(-21 + -7x + (3 * x + x * x)) + -10(x + 3) = 0
3(-21 + -7x + (3x + x2)) + -10(x + 3) = 0

Combine like terms: -7x + 3x = -4x
3(-21 + -4x + x2) + -10(x + 3) = 0
(-21 * 3 + -4x * 3 + x2 * 3) + -10(x + 3) = 0
(-63 + -12x + 3x2) + -10(x + 3) = 0

Reorder the terms:
-63 + -12x + 3x2 + -10(3 + x) = 0
-63 + -12x + 3x2 + (3 * -10 + x * -10) = 0
-63 + -12x + 3x2 + (-30 + -10x) = 0

Reorder the terms:
-63 + -30 + -12x + -10x + 3x2 = 0

Combine like terms: -63 + -30 = -93
-93 + -12x + -10x + 3x2 = 0

Combine like terms: -12x + -10x = -22x
-93 + -22x + 3x2 = 0

Solving
-93 + -22x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-3 + -1x)(31 + -3x) = 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 '(31 + -3x)' equal to zero and attempt to solve:

Simplifying
31 + -3x = 0

Solving
31 + -3x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -3x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -3x = 0 + -31
-3x = 0 + -31

Combine like terms: 0 + -31 = -31
-3x = -31

Divide each side by '-3'.
x = 10.33333333

Simplifying
x = 10.33333333
Solution
x = {-3, 10.33333333}

See similar equations:

| 8n+4+3n+n-2=3(2n+n)+2(n+4) | | y-3(5)=17 | | 2n+1.4=-5 | | 3(k+10)=90 | | 2x^2+3=-197 | | y-3(5)=15 | | Ssquared-20s+100= | | 11+a=29 | | 6x+6y=23 | | -5x-7=-3x+3 | | 14=12x-2y | | -3x-x=1+7x-7x+15 | | v+6.2=9.5 | | 126x=350*100*3 | | 2x+6+4x=24 | | a*3+7=9 | | 3(6x+9)=7x-6 | | -5.9u=19.89-4.2u | | 8x+10=10x-50 | | -4(x+5)=-72 | | p+9=16 | | -5x+1=-4(2x+5) | | 5.6m-19.35=-13.1m-10 | | 6(h+2)+4=3(h-2) | | 7x-y+-10+-7x+5y=-6 | | x+(x+7)=19 | | 3x^2-30x+71=0 | | 126x=350*3 | | -14.18+8.7f+18.19=10.81+9.2f | | 2(4v-7)=66 | | x+(x+12)=24 | | -19.1h-17.85=-17.6h |

Equations solver categories