(x+3)(x-7)=-16

Simple and best practice solution for (x+3)(x-7)=-16 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-7)=-16 equation:


Simplifying
(x + 3)(x + -7) = -16

Reorder the terms:
(3 + x)(x + -7) = -16

Reorder the terms:
(3 + x)(-7 + x) = -16

Multiply (3 + x) * (-7 + x)
(3(-7 + x) + x(-7 + x)) = -16
((-7 * 3 + x * 3) + x(-7 + x)) = -16
((-21 + 3x) + x(-7 + x)) = -16
(-21 + 3x + (-7 * x + x * x)) = -16
(-21 + 3x + (-7x + x2)) = -16

Combine like terms: 3x + -7x = -4x
(-21 + -4x + x2) = -16

Solving
-21 + -4x + x2 = -16

Solving for variable 'x'.

Reorder the terms:
-21 + 16 + -4x + x2 = -16 + 16

Combine like terms: -21 + 16 = -5
-5 + -4x + x2 = -16 + 16

Combine like terms: -16 + 16 = 0
-5 + -4x + x2 = 0

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

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

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 = {-1, 5}

 

You can always share this solution

See similar equations:

| 0.7x+15=0.2x | | 0.03x-5=4 | | 9x+15=2x+113 | | 55-5x=22x+16 | | (m+7)+2=2*(m+2) | | 4x-71=7(x-10) | | 142-2x=6x+22 | | m^2-15m+56=0 | | 4(x+14)=0 | | 7x+2=2x-13 | | 3x-11=29+23x | | 3x-8-4x-7=-2-8 | | 10-10x=106-38x | | a=19-4(8.5-a) | | t^2-11t+10=0 | | 2a+2c=17 | | x+y+3y+2x-13=0 | | 3x+4y=13 | | 3x^4+8x^3-30x^2-72x+27=0 | | 9x+12y-39=0 | | x^2-22x+117=0 | | (10x+2)*4=0 | | (10x+2)=0 | | (5x-1)(-3x+4)=0 | | -6x-2=0 | | W^2+2w-50=0 | | 2x-(5-x)=2.5 | | 7x=2x+10 | | 14x-181=5x-10 | | -4x+9-7x+1=-9x-2x-2 | | ln(x-1)+ln(x+1)=2 | | ln(x-1)+ln(x-1)=2 | | 15=3.4s-2s | | 15=3.4s-2a | | 5x-1=13x-9 | | 4y-2y=58 | | 2a-7=17-a | | -15+-9= | | 2x-19=47-4x | | -4x^2+5x+21=0 | | -(-4x-1)(5-x)x=0 | | 4y-16=5 | | -21.6-b=11.8 | | (-5+-8x)(2+-1x)=0 | | 7x^2-5x-8=0 | | 8x^2-11x-10=0 | | -2(5t+5)-(8t+7)-4t+12= | | 9x^2+43x+28=0 | | 2q*3r= | | 2q*3r= | | 11-f=8 | | ab+ab= | | (7x-2)(3-x)=0 | | 3p*3r= | | 2t^3-3t^2+1=0 | | 9k+27=3k+6 | | 2a(5a+8b)=0 | | 4(x-1)2=9 | | (3x-1)(2+5x)=-2 | | (3x-1)(2+5x)=0 | | lnx=5-x | | 5x(2+9x)-(2+9x)15=0 | | x^3-9+6x^2=0 | | lnx+x-5=0 | | (2-3x)(x+5)=3(x-2)2-x |

Equations solver categories