(4x+2)(7x-5)=0

Simple and best practice solution for (4x+2)(7x-5)=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 (4x+2)(7x-5)=0 equation: 


Simplifying
(4x + 2)(7x + -5) = 0

Reorder the terms:
(2 + 4x)(7x + -5) = 0

Reorder the terms:
(2 + 4x)(-5 + 7x) = 0

Multiply (2 + 4x) * (-5 + 7x)
(2(-5 + 7x) + 4x * (-5 + 7x)) = 0
((-5 * 2 + 7x * 2) + 4x * (-5 + 7x)) = 0
((-10 + 14x) + 4x * (-5 + 7x)) = 0
(-10 + 14x + (-5 * 4x + 7x * 4x)) = 0
(-10 + 14x + (-20x + 28x2)) = 0

Combine like terms: 14x + -20x = -6x
(-10 + -6x + 28x2) = 0

Solving
-10 + -6x + 28x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -3x + 14x2) = 0

Factor a trinomial.
2((-1 + -2x)(5 + -7x)) = 0

Ignore the factor 2.

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 '(5 + -7x)' equal to zero and attempt to solve:

Simplifying
5 + -7x = 0

Solving
5 + -7x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143
Solution
x = {-0.5, 0.7142857143}

See similar equations:

| z+(2+5i)=z(1+i) | | -10=-7+2w | | 6k+1=16+3k | | Log[4](9x-4)=2 | | 676x+822x+15824= | | 5+12y=8+9y | | 3=6p^2+6p*-6p+6p | | 7-1=y-4 | | 3b+6=b | | 2=6p-8 | | 3(x+5)-11= | | 9p^2+35p-4=0 | | 20=3x+2 | | B+4=19 | | 2x+9x+3=0 | | 49x^2-33-3=0 | | 49x^2-33=3 | | 5x-50=3x+16 | | 7-4y=31 | | 9x+23=y | | 3x-39=2x+10 | | .5x=.2y+3.3 | | f(x)=4x^5-5x^4 | | 4/9=2/x | | f(-x)=x^2-5x-1 | | 4.4s+6=8.8s-1.8 | | 4(8x-6)=8x-18 | | x=426666.67+0.36x | | a^2+b^2-a-5b+5=0 | | -12n+2=-11n-3 | | 24=2(x+2)+2x | | x=264000+0.34x |

Equations solver categories