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Simplifying
200 = 133 + 0.953(d2 + -400) + -1(0.3574d2)
Reorder the terms:
200 = 133 + 0.953(-400 + d2) + -1(0.3574d2)
200 = 133 + (-400 * 0.953 + d2 * 0.953) + -1(0.3574d2)
200 = 133 + (-381.2 + 0.953d2) + -1(0.3574d2)
Remove parenthesis around (0.3574d2)
200 = 133 + -381.2 + 0.953d2 + -1 * 0.3574d2
Multiply -1 * 0.3574
200 = 133 + -381.2 + 0.953d2 + -0.3574d2
Combine like terms: 133 + -381.2 = -248.2
200 = -248.2 + 0.953d2 + -0.3574d2
Combine like terms: 0.953d2 + -0.3574d2 = 0.5956d2
200 = -248.2 + 0.5956d2
Solving
200 = -248.2 + 0.5956d2
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-0.5956d2' to each side of the equation.
200 + -0.5956d2 = -248.2 + 0.5956d2 + -0.5956d2
Combine like terms: 0.5956d2 + -0.5956d2 = 0.0000
200 + -0.5956d2 = -248.2 + 0.0000
200 + -0.5956d2 = -248.2
Add '-200' to each side of the equation.
200 + -200 + -0.5956d2 = -248.2 + -200
Combine like terms: 200 + -200 = 0
0 + -0.5956d2 = -248.2 + -200
-0.5956d2 = -248.2 + -200
Combine like terms: -248.2 + -200 = -448.2
-0.5956d2 = -448.2
Divide each side by '-0.5956'.
d2 = 752.5184688
Simplifying
d2 = 752.5184688
Take the square root of each side:
d = {-27.432070079, 27.432070079}
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