7x^2+12x-16=2-3x

Simple and best practice solution for 7x^2+12x-16=2-3x 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 7x^2+12x-16=2-3x equation: 


Simplifying
7x2 + 12x + -16 = 2 + -3x

Reorder the terms:
-16 + 12x + 7x2 = 2 + -3x

Solving
-16 + 12x + 7x2 = 2 + -3x

Solving for variable 'x'.

Reorder the terms:
-16 + -2 + 12x + 3x + 7x2 = 2 + -3x + -2 + 3x

Combine like terms: -16 + -2 = -18
-18 + 12x + 3x + 7x2 = 2 + -3x + -2 + 3x

Combine like terms: 12x + 3x = 15x
-18 + 15x + 7x2 = 2 + -3x + -2 + 3x

Reorder the terms:
-18 + 15x + 7x2 = 2 + -2 + -3x + 3x

Combine like terms: 2 + -2 = 0
-18 + 15x + 7x2 = 0 + -3x + 3x
-18 + 15x + 7x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-18 + 15x + 7x2 = 0

Factor a trinomial.
(-3 + -1x)(6 + -7x) = 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 '(6 + -7x)' equal to zero and attempt to solve:

Simplifying
6 + -7x = 0

Solving
6 + -7x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -7x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 0 + -6
-7x = 0 + -6

Combine like terms: 0 + -6 = -6
-7x = -6

Divide each side by '-7'.
x = 0.8571428571

Simplifying
x = 0.8571428571
Solution
x = {-3, 0.8571428571}

See similar equations:

| 5(-31x+28)=-12(6+2x) | | z^2+9z=100 | | 9x^2+11x-12=9-9x | | 14.00*1.00=35 | | 6a=21 | | 4x^2+6x-3=9-7x | | 14x+30=-3-29x | | (b-4)(b-4)= | | 3x+2y=15solvey | | -6x+1+7x=-8+13 | | f(x)=ln(81sin^2(x)) | | 3n+2.8=6.7 | | 0.09x-0.021x-21002=322 | | -2x+4y-4=0 | | 412x-32-5x=31x+42 | | 3/17 | | 2L+21L-52=94 | | 4+5*67+67=67(1+56*67) | | 55+3y-8=180 | | 6(x-3)=3(3x-5) | | 2x-4+x=-5x+x*5 | | -4(2x+4)-7=-19 | | 5(x+2)=5(3x+2) | | 5x^2-63x+72=0 | | (6-x)(4-x)=0 | | x(12-2x)(8-2x)=0 | | x^2+xy-2y^2+x-11y-12=0 | | 3c+14=5c | | 21x/52 | | 6x+8=10x-4 | | X-18/2=5X | | 4a+2e=70 |

Equations solver categories