2x^2-(x-2)(x+5)=7(x+3)

Simple and best practice solution for 2x^2-(x-2)(x+5)=7(x+3) 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-(x-2)(x+5)=7(x+3) equation: 


Simplifying
2x2 + -1(x + -2)(x + 5) = 7(x + 3)

Reorder the terms:
2x2 + -1(-2 + x)(x + 5) = 7(x + 3)

Reorder the terms:
2x2 + -1(-2 + x)(5 + x) = 7(x + 3)

Multiply (-2 + x) * (5 + x)
2x2 + -1(-2(5 + x) + x(5 + x)) = 7(x + 3)
2x2 + -1((5 * -2 + x * -2) + x(5 + x)) = 7(x + 3)
2x2 + -1((-10 + -2x) + x(5 + x)) = 7(x + 3)
2x2 + -1(-10 + -2x + (5 * x + x * x)) = 7(x + 3)
2x2 + -1(-10 + -2x + (5x + x2)) = 7(x + 3)

Combine like terms: -2x + 5x = 3x
2x2 + -1(-10 + 3x + x2) = 7(x + 3)
2x2 + (-10 * -1 + 3x * -1 + x2 * -1) = 7(x + 3)
2x2 + (10 + -3x + -1x2) = 7(x + 3)

Reorder the terms:
10 + -3x + 2x2 + -1x2 = 7(x + 3)

Combine like terms: 2x2 + -1x2 = 1x2
10 + -3x + 1x2 = 7(x + 3)

Reorder the terms:
10 + -3x + 1x2 = 7(3 + x)
10 + -3x + 1x2 = (3 * 7 + x * 7)
10 + -3x + 1x2 = (21 + 7x)

Solving
10 + -3x + 1x2 = 21 + 7x

Solving for variable 'x'.

Reorder the terms:
10 + -21 + -3x + -7x + 1x2 = 21 + 7x + -21 + -7x

Combine like terms: 10 + -21 = -11
-11 + -3x + -7x + 1x2 = 21 + 7x + -21 + -7x

Combine like terms: -3x + -7x = -10x
-11 + -10x + 1x2 = 21 + 7x + -21 + -7x

Reorder the terms:
-11 + -10x + 1x2 = 21 + -21 + 7x + -7x

Combine like terms: 21 + -21 = 0
-11 + -10x + 1x2 = 0 + 7x + -7x
-11 + -10x + 1x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-11 + -10x + 1x2 = 0

Factor a trinomial.
(-1 + -1x)(11 + -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 '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Solution
x = {-1, 11}

See similar equations:

| 27X^2-19X-8=0 | | 3y+8=5y-2 | | 13-9x=75-23x | | (-3y+4)-(-2y-5)=6 | | 34+x-2=100 | | (5+log[4](5))= | | 7x+20=5x+52 | | 9/4x=12 | | x+144=4x | | 3r-36/3 | | 4x*(7x-6)=9*9 | | 2x-9/10+2x-3/2x-1=x/5 | | x = 2y + 9 | | 5r+30/20 | | x+(-4)=88 | | x+(-4)= | | 6x+2e^2x=0 | | 10-(2+4)= | | 16x-24=16x+12 | | 3ln(2x+5)=18 | | 5+2t-2=9t+7-3t | | x/4-x^2-8x/4x-5=7/4 | | 5-5d=1 | | 15*8=10*z | | 8p+16p=168 | | 7*5=3*y | | 5m(x+3)=15m | | x^20=3000 | | 2/3b-1/3b+11=12 | | 10x-14=104 | | -86-10=7x+16 | | k=10-6 |

Equations solver categories