2x^2+4x-16=x^2+7x+12

Simple and best practice solution for 2x^2+4x-16=x^2+7x+12 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 2x^2+4x-16=x^2+7x+12 equation: 


Simplifying
2x2 + 4x + -16 = x2 + 7x + 12

Reorder the terms:
-16 + 4x + 2x2 = x2 + 7x + 12

Reorder the terms:
-16 + 4x + 2x2 = 12 + 7x + x2

Solving
-16 + 4x + 2x2 = 12 + 7x + x2

Solving for variable 'x'.

Reorder the terms:
-16 + -12 + 4x + -7x + 2x2 + -1x2 = 12 + 7x + x2 + -12 + -7x + -1x2

Combine like terms: -16 + -12 = -28
-28 + 4x + -7x + 2x2 + -1x2 = 12 + 7x + x2 + -12 + -7x + -1x2

Combine like terms: 4x + -7x = -3x
-28 + -3x + 2x2 + -1x2 = 12 + 7x + x2 + -12 + -7x + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-28 + -3x + 1x2 = 12 + 7x + x2 + -12 + -7x + -1x2

Reorder the terms:
-28 + -3x + 1x2 = 12 + -12 + 7x + -7x + x2 + -1x2

Combine like terms: 12 + -12 = 0
-28 + -3x + 1x2 = 0 + 7x + -7x + x2 + -1x2
-28 + -3x + 1x2 = 7x + -7x + x2 + -1x2

Combine like terms: 7x + -7x = 0
-28 + -3x + 1x2 = 0 + x2 + -1x2
-28 + -3x + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-28 + -3x + 1x2 = 0

Factor a trinomial.
(-4 + -1x)(7 + -1x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-4, 7}

See similar equations:

| -2=4x-5x+7 | | 5x+9+5x=79 | | 7w=−5/6 | | 2x-7-6x=17 | | -p-3(2p-6)= | | -(2t-5)+2t=5t-4 | | -3-5x+3(-8x-5x)= | | 4(x+4)+4=9x-5(x-3) | | 1/9÷3 | | -7+7x+4x=-106 | | 4r-3r(2r+5r)= | | 25+5b-8b-(-5)= | | 13+8x=44 | | -10=-3n+2 | | 0.6(x+100)=0.68x-540 | | 2x^2+4x+16=x^2+7x+12 | | 4/5n=1–1/5n | | 3x^2-3x=10 | | -3+3a=33 | | 10v-9=51 | | X-5+35+105=180 | | 112=4x+4(-5x-12) | | f(10)=4x-5 | | 4d+2d-3=15 | | -9+19=-6+x | | 4y/7-7/8=5/56 | | 8x/3-1=15 | | 12(z+1)-4(z-2)=3(z-1)+4(z-1) | | 94=-2x-2(-7x-11) | | 3(3x-1)-4=6c+2 | | 7q-5q=4 | | X^4-21X^2+20x=0 |

Equations solver categories