25x \times 45+2 \% \times 14x= { 6 }^{ 2 }
Solve for x
x=\frac{225}{7033}\approx 0.031992038
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1125x+\frac{2}{100}\times 14x=6^{2}
Multiply 25 and 45 to get 1125.
1125x+\frac{1}{50}\times 14x=6^{2}
Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.
1125x+\frac{14}{50}x=6^{2}
Multiply \frac{1}{50} and 14 to get \frac{14}{50}.
1125x+\frac{7}{25}x=6^{2}
Reduce the fraction \frac{14}{50} to lowest terms by extracting and canceling out 2.
\frac{28132}{25}x=6^{2}
Combine 1125x and \frac{7}{25}x to get \frac{28132}{25}x.
\frac{28132}{25}x=36
Calculate 6 to the power of 2 and get 36.
x=36\times \frac{25}{28132}
Multiply both sides by \frac{25}{28132}, the reciprocal of \frac{28132}{25}.
x=\frac{36\times 25}{28132}
Express 36\times \frac{25}{28132} as a single fraction.
x=\frac{900}{28132}
Multiply 36 and 25 to get 900.
x=\frac{225}{7033}
Reduce the fraction \frac{900}{28132} to lowest terms by extracting and canceling out 4.
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