29(2x+5)(3x-7)=

Simple and best practice solution for 29(2x+5)(3x-7)= 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 29(2x+5)(3x-7)= equation: 


Simplifying
29(2x + 5)(3x + -7) = 0

Reorder the terms:
29(5 + 2x)(3x + -7) = 0

Reorder the terms:
29(5 + 2x)(-7 + 3x) = 0

Multiply (5 + 2x) * (-7 + 3x)
29(5(-7 + 3x) + 2x * (-7 + 3x)) = 0
29((-7 * 5 + 3x * 5) + 2x * (-7 + 3x)) = 0
29((-35 + 15x) + 2x * (-7 + 3x)) = 0
29(-35 + 15x + (-7 * 2x + 3x * 2x)) = 0
29(-35 + 15x + (-14x + 6x2)) = 0

Combine like terms: 15x + -14x = 1x
29(-35 + 1x + 6x2) = 0
(-35 * 29 + 1x * 29 + 6x2 * 29) = 0
(-1015 + 29x + 174x2) = 0

Solving
-1015 + 29x + 174x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '29'.
29(-35 + x + 6x2) = 0

Factor a trinomial.
29((-5 + -2x)(7 + -3x)) = 0

Ignore the factor 29.

Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2x = 0 + 5
-2x = 0 + 5

Combine like terms: 0 + 5 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 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 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Divide each side by '-3'.
x = 2.333333333

Simplifying
x = 2.333333333
Solution
x = {-2.5, 2.333333333}

See similar equations:

| 2t=600 | | 6m+5p=43 | | 3m+6p= | | 5(-2-x)=2x+3(-3x+6) | | 20-4.5= | | -20+n=-45 | | 2n+m=0 | | 151=3(3+8x)-2 | | -(1+7k)-4k=-3(3k+3) | | 4x^2-2x-25=0 | | x*x*x+3*x*x+4*x+1=0 | | -132=4(7+5k) | | 4m=3m+3 | | 6x-1y=10 | | -104=6b+4(2-5b) | | 7-4-9t=15+7.6t | | 76=4x+4 | | 4-3(-8-7x)=175 | | 2v-2v=-2(4v+7)+6(2v-3) | | -108=-6(x+6)-3x | | 4a=s | | 2x-23y=-29 | | t+a=8 | | (x-4)*0=(y-0)*-8 | | 5(k-4)-4(k+1)-13=-30 | | 273=-7(5x+1) | | 2x^2+20x-288=0 | | 7x-4+2x-5=180 | | 3x-4=11+7x | | 6(x+4)=4x+27 | | 8k+5=13+8k | | -3.5x=-5x |

Equations solver categories