200=133+0.9530(d^2-400)-0.3574xd^2

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Solution for 200=133+0.9530(d^2-400)-0.3574xd^2 equation:


Simplifying
200 = 133 + 0.9530(d2 + -400) + -0.3574xd2

Reorder the terms:
200 = 133 + 0.9530(-400 + d2) + -0.3574xd2
200 = 133 + (-400 * 0.9530 + d2 * 0.9530) + -0.3574xd2
200 = 133 + (-381.2 + 0.9530d2) + -0.3574xd2

Combine like terms: 133 + -381.2 = -248.2
200 = -248.2 + 0.9530d2 + -0.3574d2x

Solving
200 = -248.2 + 0.9530d2 + -0.3574d2x

Solving for variable 'd'.

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

Add '-0.9530d2' to each side of the equation.
200 + -0.9530d2 = -248.2 + 0.9530d2 + -0.9530d2 + -0.3574d2x

Combine like terms: 0.9530d2 + -0.9530d2 = 0.0000
200 + -0.9530d2 = -248.2 + 0.0000 + -0.3574d2x
200 + -0.9530d2 = -248.2 + -0.3574d2x

Add '0.3574d2x' to each side of the equation.
200 + -0.9530d2 + 0.3574d2x = -248.2 + -0.3574d2x + 0.3574d2x

Combine like terms: -0.3574d2x + 0.3574d2x = 0.0000
200 + -0.9530d2 + 0.3574d2x = -248.2 + 0.0000
200 + -0.9530d2 + 0.3574d2x = -248.2

Add '-200' to each side of the equation.
200 + -0.9530d2 + -200 + 0.3574d2x = -248.2 + -200

Reorder the terms:
200 + -200 + -0.9530d2 + 0.3574d2x = -248.2 + -200

Combine like terms: 200 + -200 = 0
0 + -0.9530d2 + 0.3574d2x = -248.2 + -200
-0.9530d2 + 0.3574d2x = -248.2 + -200

Combine like terms: -248.2 + -200 = -448.2
-0.9530d2 + 0.3574d2x = -448.2

Reorder the terms:
448.2 + -0.9530d2 + 0.3574d2x = -448.2 + 448.2

Combine like terms: -448.2 + 448.2 = 0.0
448.2 + -0.9530d2 + 0.3574d2x = 0.0

The solution to this equation could not be determined.

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