(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:

| 6(u+13)=162 | | 3x/5-1=8 | | 20x-12-1=8 | | 20x-12-1=0 | | 7/8w=6. | | -x-18=20 | | 2-2x-24=0 | | -4(x+6)+6=6(x+4)+4 | | 25.37=0.18p+19.25 | | -9x+9=84 | | (v-2)(4v-5)=0 | | 0.02/x=2 | | 20.75=0.03p+19.25 | | H=3(5)2 | | 15x-14=70 | | 0.5x-0.1(3-x)=1.2 | | -10x+14=-40 | | 0.5x-0.1(3-x)=12 | | 13+15k=14k | | Y=ln(x^2-1)+5 | | 0.6(x-4)=10.2 | | 4y-20=1x-6 | | 4x(6-3)=5x-4(5x-8) | | y=x-(3/8x-13) | | 14=7x/10-8 | | -18d-20=19-15d | | 7ab-5ab-4ab= | | 16m=-17+15m | | 0.7=100 | | y-13=3/8x | | -8.7=3.3-3y | | cosx=.85 |

Equations solver categories