25(2x+1)3+10(2x+1)2-35(2x+1)=

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Solution for 25(2x+1)3+10(2x+1)2-35(2x+1)= equation: 


Simplifying
25(2x + 1) * 3 + 10(2x + 1) * 2 + -35(2x + 1) = 0

Reorder the terms:
25(1 + 2x) * 3 + 10(2x + 1) * 2 + -35(2x + 1) = 0

Reorder the terms for easier multiplication:
25 * 3(1 + 2x) + 10(2x + 1) * 2 + -35(2x + 1) = 0

Multiply 25 * 3
75(1 + 2x) + 10(2x + 1) * 2 + -35(2x + 1) = 0
(1 * 75 + 2x * 75) + 10(2x + 1) * 2 + -35(2x + 1) = 0
(75 + 150x) + 10(2x + 1) * 2 + -35(2x + 1) = 0

Reorder the terms:
75 + 150x + 10(1 + 2x) * 2 + -35(2x + 1) = 0

Reorder the terms for easier multiplication:
75 + 150x + 10 * 2(1 + 2x) + -35(2x + 1) = 0

Multiply 10 * 2
75 + 150x + 20(1 + 2x) + -35(2x + 1) = 0
75 + 150x + (1 * 20 + 2x * 20) + -35(2x + 1) = 0
75 + 150x + (20 + 40x) + -35(2x + 1) = 0

Reorder the terms:
75 + 150x + 20 + 40x + -35(1 + 2x) = 0
75 + 150x + 20 + 40x + (1 * -35 + 2x * -35) = 0
75 + 150x + 20 + 40x + (-35 + -70x) = 0

Reorder the terms:
75 + 20 + -35 + 150x + 40x + -70x = 0

Combine like terms: 75 + 20 = 95
95 + -35 + 150x + 40x + -70x = 0

Combine like terms: 95 + -35 = 60
60 + 150x + 40x + -70x = 0

Combine like terms: 150x + 40x = 190x
60 + 190x + -70x = 0

Combine like terms: 190x + -70x = 120x
60 + 120x = 0

Solving
60 + 120x = 0

Solving for variable 'x'.

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

Add '-60' to each side of the equation.
60 + -60 + 120x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + 120x = 0 + -60
120x = 0 + -60

Combine like terms: 0 + -60 = -60
120x = -60

Divide each side by '120'.
x = -0.5

Simplifying
x = -0.5

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