(x-7)*(2x+4)=0

Simple and best practice solution for (x-7)*(2x+4)=0 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)*(2x+4)=0 equation: 


Simplifying
(x + -7)(2x + 4) = 0

Reorder the terms:
(-7 + x)(2x + 4) = 0

Reorder the terms:
(-7 + x)(4 + 2x) = 0

Multiply (-7 + x) * (4 + 2x)
(-7(4 + 2x) + x(4 + 2x)) = 0
((4 * -7 + 2x * -7) + x(4 + 2x)) = 0
((-28 + -14x) + x(4 + 2x)) = 0
(-28 + -14x + (4 * x + 2x * x)) = 0
(-28 + -14x + (4x + 2x2)) = 0

Combine like terms: -14x + 4x = -10x
(-28 + -10x + 2x2) = 0

Solving
-28 + -10x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-14 + -5x + x2) = 0

Factor a trinomial.
2((-2 + -1x)(7 + -1x)) = 0

Ignore the factor 2.

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

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1x = 0 + 2

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

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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 = {-2, 7}

See similar equations:

| 5m^4-2m^3+8m-9= | | -3y-2=9y+21 | | -3x+5=15 | | 3y+33=22+7y | | 2/3[3x-6]=4(x-2) | | 12(3x+4)-6(2x-4)=4x-48 | | 16x^2-4x=2 | | -3x+5=13 | | -18w+18w=-8w+8 | | -4(6-4b)=10b+12 | | 10r^2s^2-5rs-15s^2=0 | | 15+20=510 | | -8=4-(9-a) | | -(4y+3)-(-3y-5)=-5 | | 15+20= | | 3t-1=19-t | | 7-(2y-2)=4-3y | | 8x^2+3x-36=0 | | 16(2x-5)=4(8x+2) | | 12ex=2 | | -4-2k-(-4)+(-6k)= | | -6.8-6z-2.7-3z=-8z-8.4 | | 4+13p-3=9p+25-4p | | 7x+24=19x | | 12-x=5x | | 5(m-8)-2(8-2m)=8(m-9)-1 | | (x-6)(x^2-5x+3)= | | 4s+2s=42 | | -3x+5=10 | | 1.5q-3.4-4.6q=-4.1q-4.5 | | 4n+zr=r-7f | | -12x+14=8x-42 |

Equations solver categories