(4x-2)2+(3x+7)2=

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Solution for (4x-2)2+(3x+7)2= equation:


Simplifying
(4x + -2) * 2 + (3x + 7) * 2 = 0

Reorder the terms:
(-2 + 4x) * 2 + (3x + 7) * 2 = 0

Reorder the terms for easier multiplication:
2(-2 + 4x) + (3x + 7) * 2 = 0
(-2 * 2 + 4x * 2) + (3x + 7) * 2 = 0
(-4 + 8x) + (3x + 7) * 2 = 0

Reorder the terms:
-4 + 8x + (7 + 3x) * 2 = 0

Reorder the terms for easier multiplication:
-4 + 8x + 2(7 + 3x) = 0
-4 + 8x + (7 * 2 + 3x * 2) = 0
-4 + 8x + (14 + 6x) = 0

Reorder the terms:
-4 + 14 + 8x + 6x = 0

Combine like terms: -4 + 14 = 10
10 + 8x + 6x = 0

Combine like terms: 8x + 6x = 14x
10 + 14x = 0

Solving
10 + 14x = 0

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 14x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 14x = 0 + -10
14x = 0 + -10

Combine like terms: 0 + -10 = -10
14x = -10

Divide each side by '14'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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