50x^2+25x-7=(10x+7)

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Solution for 50x^2+25x-7=(10x+7) equation: 


Simplifying
50x2 + 25x + -7 = (10x + 7)

Reorder the terms:
-7 + 25x + 50x2 = (10x + 7)

Reorder the terms:
-7 + 25x + 50x2 = (7 + 10x)

Remove parenthesis around (7 + 10x)
-7 + 25x + 50x2 = 7 + 10x

Solving
-7 + 25x + 50x2 = 7 + 10x

Solving for variable 'x'.

Reorder the terms:
-7 + -7 + 25x + -10x + 50x2 = 7 + 10x + -7 + -10x

Combine like terms: -7 + -7 = -14
-14 + 25x + -10x + 50x2 = 7 + 10x + -7 + -10x

Combine like terms: 25x + -10x = 15x
-14 + 15x + 50x2 = 7 + 10x + -7 + -10x

Reorder the terms:
-14 + 15x + 50x2 = 7 + -7 + 10x + -10x

Combine like terms: 7 + -7 = 0
-14 + 15x + 50x2 = 0 + 10x + -10x
-14 + 15x + 50x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
-14 + 15x + 50x2 = 0

Factor a trinomial.
(-7 + -10x)(2 + -5x) = 0


Subproblem 1
Set the factor '(-7 + -10x)' equal to zero and attempt to solve:

Simplifying
-7 + -10x = 0

Solving
-7 + -10x = 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 + -10x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -10x = 0 + 7
-10x = 0 + 7

Combine like terms: 0 + 7 = 7
-10x = 7

Divide each side by '-10'.
x = -0.7

Simplifying
x = -0.7

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

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

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

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {-0.7, 0.4}

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