25x*6x+12+16=23*10x

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Solution for 25x*6x+12+16=23*10x equation: 


Simplifying
25x * 6x + 12 + 16 = 23 * 10x

Reorder the terms for easier multiplication:
25 * 6x * x + 12 + 16 = 23 * 10x

Multiply 25 * 6
150x * x + 12 + 16 = 23 * 10x

Multiply x * x
150x2 + 12 + 16 = 23 * 10x

Reorder the terms:
12 + 16 + 150x2 = 23 * 10x

Combine like terms: 12 + 16 = 28
28 + 150x2 = 23 * 10x

Multiply 23 * 10
28 + 150x2 = 230x

Solving
28 + 150x2 = 230x

Solving for variable 'x'.

Reorder the terms:
28 + -230x + 150x2 = 230x + -230x

Combine like terms: 230x + -230x = 0
28 + -230x + 150x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -115x + 75x2) = 0

Factor a trinomial.
2((2 + -15x)(7 + -5x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -15x)' equal to zero and attempt to solve:

Simplifying
2 + -15x = 0

Solving
2 + -15x = 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 + -15x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -15x = 0 + -2
-15x = 0 + -2

Combine like terms: 0 + -2 = -2
-15x = -2

Divide each side by '-15'.
x = 0.1333333333

Simplifying
x = 0.1333333333

Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve:

Simplifying
7 + -5x = 0

Solving
7 + -5x = 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 + -5x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 0 + -7
-5x = 0 + -7

Combine like terms: 0 + -7 = -7
-5x = -7

Divide each side by '-5'.
x = 1.4

Simplifying
x = 1.4
Solution
x = {0.1333333333, 1.4}

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