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

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


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

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

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

Multiply (-7 + 2x) * (4 + 4x)
(-7(4 + 4x) + 2x * (4 + 4x)) = 0
((4 * -7 + 4x * -7) + 2x * (4 + 4x)) = 0
((-28 + -28x) + 2x * (4 + 4x)) = 0
(-28 + -28x + (4 * 2x + 4x * 2x)) = 0
(-28 + -28x + (8x + 8x2)) = 0

Combine like terms: -28x + 8x = -20x
(-28 + -20x + 8x2) = 0

Solving
-28 + -20x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-7 + -5x + 2x2) = 0

Factor a trinomial.
4((-1 + -1x)(7 + -2x)) = 0

Ignore the factor 4.

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 '(7 + -2x)' equal to zero and attempt to solve:

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-1, 3.5}

See similar equations:

| (5x-5)(6x+8)=0 | | 484+44x=847-77x | | 3x+14=50 | | a^2=-35-12a | | 77x-847=44x+484 | | 8a+3=6a-7 | | 3x^2+5x-2=-x^2 | | 5x-3*(x+2)=15 | | Y=3(1.1) | | -2x+4x-5=0 | | 101-4x=14x-15 | | 7-6x=30 | | =y^3-7y^2+y-7 | | 10-10x=42-38x | | 45-3x=3x+21 | | Y=(3)(1.1)x | | (2x-9)(8x+9)=0 | | Y=(3)(1.1) | | w^3+216=0 | | 3y-10+y+40=5y+30-3y | | 7x+2=6-3x | | 2x-9=x+23 | | W^2-6w+36=0 | | =4z^3+8z^2-60z | | x+27=-15 | | 7c+5=51-4 | | 8-(x)2=20X | | -0.848=-0.2(6.5x-2) | | -4(x+1)=16 | | x-36=81 | | x=3x^2-6x-2 | | 12-x=-2 |

Equations solver categories