450(1+.25)(1+x)(1+.11)=583.96

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Solution for 450(1+.25)(1+x)(1+.11)=583.96 equation:


Simplifying
450(1 + 0.25)(1 + x)(1 + 0.11) = 583.96

Combine like terms: 1 + 0.25 = 1.25
450(1.25)(1 + x)(1 + 0.11) = 583.96

Combine like terms: 1 + 0.11 = 1.11
450 * 1.25(1 + x)(1.11) = 583.96

Reorder the terms for easier multiplication:
450 * 1.25 * 1.11(1 + x) = 583.96

Multiply 450 * 1.25
562.5 * 1.11(1 + x) = 583.96

Multiply 562.5 * 1.11
624.375(1 + x) = 583.96
(1 * 624.375 + x * 624.375) = 583.96
(624.375 + 624.375x) = 583.96

Solving
624.375 + 624.375x = 583.96

Solving for variable 'x'.

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

Add '-624.375' to each side of the equation.
624.375 + -624.375 + 624.375x = 583.96 + -624.375

Combine like terms: 624.375 + -624.375 = 0.000
0.000 + 624.375x = 583.96 + -624.375
624.375x = 583.96 + -624.375

Combine like terms: 583.96 + -624.375 = -40.415
624.375x = -40.415

Divide each side by '624.375'.
x = -0.06472872873

Simplifying
x = -0.06472872873

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