(x+7)(x-3)=11

Simple and best practice solution for (x+7)(x-3)=11 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+7)(x-3)=11 equation:


Simplifying
(x + 7)(x + -3) = 11

Reorder the terms:
(7 + x)(x + -3) = 11

Reorder the terms:
(7 + x)(-3 + x) = 11

Multiply (7 + x) * (-3 + x)
(7(-3 + x) + x(-3 + x)) = 11
((-3 * 7 + x * 7) + x(-3 + x)) = 11
((-21 + 7x) + x(-3 + x)) = 11
(-21 + 7x + (-3 * x + x * x)) = 11
(-21 + 7x + (-3x + x2)) = 11

Combine like terms: 7x + -3x = 4x
(-21 + 4x + x2) = 11

Solving
-21 + 4x + x2 = 11

Solving for variable 'x'.

Reorder the terms:
-21 + -11 + 4x + x2 = 11 + -11

Combine like terms: -21 + -11 = -32
-32 + 4x + x2 = 11 + -11

Combine like terms: 11 + -11 = 0
-32 + 4x + x2 = 0

Factor a trinomial.
(-8 + -1x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-8, 4}

See similar equations:

| (10x-18)=(8x+14) | | 26+0.15p=c | | 6(W-3)=6W-18 | | 16-5*3= | | 8x-15=4x-(-12) | | 6=3(m+5)+3(m+3) | | 64x^3-81x=0 | | 10=x-15 | | 0.2p=9 | | 10=5(x-2)+5x | | s=0.1666666667w | | (68-x)=3x | | 100x^3-121x=0 | | 94=7x+17 | | 3.5=1.6-0.4y | | 5X-4=8x+11 | | 4x^2+7xy+3y^2= | | 9-5a=8a-17 | | x-3x=40 | | 5n+10n+25n=340 | | -21-8x=-5(x+6) | | x=-2y+10 | | 3(2x-5)=(3x-2) | | 3(2x-5)=3x-2 | | -42x-12=42x+7+12 | | 4X+6=2X+14 | | 4x-10=3x+5 | | 6+t=-4 | | |x|+5=13 | | -7+t=6 | | 2x-3=-21 | | 12=-d+20 |

Equations solver categories