49x^2-100=14x+20

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Solution for 49x^2-100=14x+20 equation: 


Simplifying
49x2 + -100 = 14x + 20

Reorder the terms:
-100 + 49x2 = 14x + 20

Reorder the terms:
-100 + 49x2 = 20 + 14x

Solving
-100 + 49x2 = 20 + 14x

Solving for variable 'x'.

Reorder the terms:
-100 + -20 + -14x + 49x2 = 20 + 14x + -20 + -14x

Combine like terms: -100 + -20 = -120
-120 + -14x + 49x2 = 20 + 14x + -20 + -14x

Reorder the terms:
-120 + -14x + 49x2 = 20 + -20 + 14x + -14x

Combine like terms: 20 + -20 = 0
-120 + -14x + 49x2 = 0 + 14x + -14x
-120 + -14x + 49x2 = 14x + -14x

Combine like terms: 14x + -14x = 0
-120 + -14x + 49x2 = 0

Factor a trinomial.
(-10 + -7x)(12 + -7x) = 0


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

Simplifying
-10 + -7x = 0

Solving
-10 + -7x = 0

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

Add '10' to each side of the equation.
-10 + 10 + -7x = 0 + 10

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

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

Divide each side by '-7'.
x = -1.428571429

Simplifying
x = -1.428571429

Subproblem 2
Set the factor '(12 + -7x)' equal to zero and attempt to solve:

Simplifying
12 + -7x = 0

Solving
12 + -7x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -7x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 0 + -12
-7x = 0 + -12

Combine like terms: 0 + -12 = -12
-7x = -12

Divide each side by '-7'.
x = 1.714285714

Simplifying
x = 1.714285714
Solution
x = {-1.428571429, 1.714285714}

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