5(x+7)+4x^2=(x+5)(x+7)

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


Simplifying
5(x + 7) + 4x2 = (x + 5)(x + 7)

Reorder the terms:
5(7 + x) + 4x2 = (x + 5)(x + 7)
(7 * 5 + x * 5) + 4x2 = (x + 5)(x + 7)
(35 + 5x) + 4x2 = (x + 5)(x + 7)

Reorder the terms:
35 + 5x + 4x2 = (5 + x)(x + 7)

Reorder the terms:
35 + 5x + 4x2 = (5 + x)(7 + x)

Multiply (5 + x) * (7 + x)
35 + 5x + 4x2 = (5(7 + x) + x(7 + x))
35 + 5x + 4x2 = ((7 * 5 + x * 5) + x(7 + x))
35 + 5x + 4x2 = ((35 + 5x) + x(7 + x))
35 + 5x + 4x2 = (35 + 5x + (7 * x + x * x))
35 + 5x + 4x2 = (35 + 5x + (7x + x2))

Combine like terms: 5x + 7x = 12x
35 + 5x + 4x2 = (35 + 12x + x2)

Add '-35' to each side of the equation.
35 + 5x + -35 + 4x2 = 35 + 12x + -35 + x2

Reorder the terms:
35 + -35 + 5x + 4x2 = 35 + 12x + -35 + x2

Combine like terms: 35 + -35 = 0
0 + 5x + 4x2 = 35 + 12x + -35 + x2
5x + 4x2 = 35 + 12x + -35 + x2

Reorder the terms:
5x + 4x2 = 35 + -35 + 12x + x2

Combine like terms: 35 + -35 = 0
5x + 4x2 = 0 + 12x + x2
5x + 4x2 = 12x + x2

Solving
5x + 4x2 = 12x + x2

Solving for variable 'x'.

Reorder the terms:
5x + -12x + 4x2 + -1x2 = 12x + x2 + -12x + -1x2

Combine like terms: 5x + -12x = -7x
-7x + 4x2 + -1x2 = 12x + x2 + -12x + -1x2

Combine like terms: 4x2 + -1x2 = 3x2
-7x + 3x2 = 12x + x2 + -12x + -1x2

Reorder the terms:
-7x + 3x2 = 12x + -12x + x2 + -1x2

Combine like terms: 12x + -12x = 0
-7x + 3x2 = 0 + x2 + -1x2
-7x + 3x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-7x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-7 + 3x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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 = {0, 2.333333333}

See similar equations:

| 3sin(x)+2cos(x)=0 | | 10x+[2+8x]=4 | | 4x^3-2xy= | | 2.5=11.50 | | 28=8+2x | | -2t-5= | | -53+12X=115 | | 9x-2[x+4]=34 | | Ln(4x-7)=ln(x+5) | | -63=-27-3X | | y+5.8=1.34 | | x+(-12)=112 | | (h^3-2h)+(3h^2+4h)-2h^3= | | 4y=6x-4 | | 100-5p=-20+7p | | 127=-11x-71 | | -8(y+1)+1=-8y-6 | | x(31-5-x)=10-3x | | 147=63+6x | | 5x-7=2x+7 | | 10m-17m-25m+21m+m=16 | | -5x+23=32 | | 7(x-1)=5(x-15) | | ln(8x-7)=2 | | 8x+44=100 | | 10x+(16y+6)=180 | | 2z+3z= | | -5(x+4)+6=-3(2x+2)+x | | 4x^2+256=y | | 2(3x-51)-x=10-3x | | 22=-14+2x | | -7h-5=-4-4h |

Equations solver categories