x(5x+3)=2x^2-7x+25

Simple and best practice solution for x(5x+3)=2x^2-7x+25 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(5x+3)=2x^2-7x+25 equation: 


Simplifying
x(5x + 3) = 2x2 + -7x + 25

Reorder the terms:
x(3 + 5x) = 2x2 + -7x + 25
(3 * x + 5x * x) = 2x2 + -7x + 25
(3x + 5x2) = 2x2 + -7x + 25

Reorder the terms:
3x + 5x2 = 25 + -7x + 2x2

Solving
3x + 5x2 = 25 + -7x + 2x2

Solving for variable 'x'.

Reorder the terms:
-25 + 3x + 7x + 5x2 + -2x2 = 25 + -7x + 2x2 + -25 + 7x + -2x2

Combine like terms: 3x + 7x = 10x
-25 + 10x + 5x2 + -2x2 = 25 + -7x + 2x2 + -25 + 7x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-25 + 10x + 3x2 = 25 + -7x + 2x2 + -25 + 7x + -2x2

Reorder the terms:
-25 + 10x + 3x2 = 25 + -25 + -7x + 7x + 2x2 + -2x2

Combine like terms: 25 + -25 = 0
-25 + 10x + 3x2 = 0 + -7x + 7x + 2x2 + -2x2
-25 + 10x + 3x2 = -7x + 7x + 2x2 + -2x2

Combine like terms: -7x + 7x = 0
-25 + 10x + 3x2 = 0 + 2x2 + -2x2
-25 + 10x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-25 + 10x + 3x2 = 0

Factor a trinomial.
(-5 + -1x)(5 + -3x) = 0


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

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 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 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = 0 + 5
-1x = 0 + 5

Combine like terms: 0 + 5 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-5, 1.666666667}

See similar equations:

| 30x-12=1338 | | 4x-20=2X | | -6t-7t-5t-1=12-3 | | 15-(7u-17)+2u=6(u+6)+12 | | (x-6)=25 | | x(5x+4)=2x^2-16+7 | | x(8x+11)=3x^2-25x+81 | | 6(2u-6)+2=4u-2+8u-32 | | 8x+5=6x+29 | | 2x-26=-19+3x | | 103-5x=3x | | 5x^2+14x-81=0 | | 3(-1)+2= | | 2xy+4xy+12xy= | | 34-6x=3x+21 | | -8r-7=17 | | 6.7x+-5.2x=12.3 | | 36x^2+24x+5=0 | | 13-10x=25-17x | | n^2-6n-160=0 | | 3(-1)= | | -2(6u-1)+6(3u+5)=u-(4u+22) | | 3(-3)= | | 3(2n+6)=6(n+2)-8n | | 4x+8=20-x | | Twothridsx=10 | | 2x^2+16x-400=0 | | 4+5p-2p-3=3p+16+5p | | Y=-1.8(28)-32.7 | | 2-6x=12-7x | | b^2-384=0 | | 6+5q-3q+14=3q+5+2q |

Equations solver categories