2d*2d+7=31

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Solution for 2d*2d+7=31 equation: 


Simplifying
2d * 2d + 7 = 31

Reorder the terms for easier multiplication:
2 * 2d * d + 7 = 31

Multiply 2 * 2
4d * d + 7 = 31

Multiply d * d
4d2 + 7 = 31

Reorder the terms:
7 + 4d2 = 31

Solving
7 + 4d2 = 31

Solving for variable 'd'.

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

Add '-7' to each side of the equation.
7 + -7 + 4d2 = 31 + -7

Combine like terms: 7 + -7 = 0
0 + 4d2 = 31 + -7
4d2 = 31 + -7

Combine like terms: 31 + -7 = 24
4d2 = 24

Divide each side by '4'.
d2 = 6

Simplifying
d2 = 6

Take the square root of each side:
d = {-2.449489743, 2.449489743}

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