(x+2)(2x-7)=-15

Simple and best practice solution for (x+2)(2x-7)=-15 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+2)(2x-7)=-15 equation: 


Simplifying
(x + 2)(2x + -7) = -15

Reorder the terms:
(2 + x)(2x + -7) = -15

Reorder the terms:
(2 + x)(-7 + 2x) = -15

Multiply (2 + x) * (-7 + 2x)
(2(-7 + 2x) + x(-7 + 2x)) = -15
((-7 * 2 + 2x * 2) + x(-7 + 2x)) = -15
((-14 + 4x) + x(-7 + 2x)) = -15
(-14 + 4x + (-7 * x + 2x * x)) = -15
(-14 + 4x + (-7x + 2x2)) = -15

Combine like terms: 4x + -7x = -3x
(-14 + -3x + 2x2) = -15

Solving
-14 + -3x + 2x2 = -15

Solving for variable 'x'.

Reorder the terms:
-14 + 15 + -3x + 2x2 = -15 + 15

Combine like terms: -14 + 15 = 1
1 + -3x + 2x2 = -15 + 15

Combine like terms: -15 + 15 = 0
1 + -3x + 2x2 = 0

Factor a trinomial.
(1 + -2x)(1 + -1x) = 0


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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
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
Solution
x = {0.5, 1}

See similar equations:

| 9x-7x=30 | | 3n-2=78 | | -1/2(16-2(19)) | | 7k^2-73k+90=0 | | 5n-2=78 | | x^2-2500x+1440000=0 | | (7x^2-3x+2)-(5x^2-3x-6)= | | 96=16(252)-246(16) | | 96=16(252)-v(16) | | 3c=28 | | 8h=-64 | | 3+10=25 | | 21a^4-102a^3-144a^2=0 | | 151=235x-16x^2 | | y=235x-16x^2 | | (x)2+2*35=4 | | p+20=80 | | 30x^3-82x^2+52x=0 | | 20-4x=5-x | | -2-x=5+2x | | 1/2y=6 | | -2-x=5-2x | | -2+x=5-2x | | -2+x=5+2x | | 6c^3-54c=0 | | 5x+15y-10= | | Y=3*x-1 | | 14-x=30-3x | | -6(x+4)=2x-5 | | -6(x-4)=2x+5 | | Y=42/3x | | 6(x-4)=2x+5 |

Equations solver categories