Solve x=0+(24,6)*(5)+1/2(-4,92)*(5)^2

$$x = 0 + ( 24,6 ) \cdot ( 5 ) + \frac { 1 } { 2 } ( - 4,92 ) \cdot ( 5 ) ^ { 2 }$$

Solve for x

$$x=61,5$$

Steps for Solving Linear Equation

Multiply 24,6 and 5 to get 123.

$$x=0+123+\frac{1}{2}\left(-4,92\right)\times 5^{2}$$

Add 0 and 123 to get 123.

$$x=123+\frac{1}{2}\left(-4,92\right)\times 5^{2}$$

Convert decimal number -4,92 to fraction -\frac{492}{100}. Reduce the fraction -\frac{492}{100} to lowest terms by extracting and canceling out 4.

$$x=123+\frac{1}{2}\left(-\frac{123}{25}\right)\times 5^{2}$$

Multiply \frac{1}{2} times -\frac{123}{25} by multiplying numerator times numerator and denominator times denominator.

$$x=123+\frac{1\left(-123\right)}{2\times 25}\times 5^{2}$$

Do the multiplications in the fraction \frac{1\left(-123\right)}{2\times 25}.

$$x=123+\frac{-123}{50}\times 5^{2}$$

Fraction \frac{-123}{50} can be rewritten as -\frac{123}{50} by extracting the negative sign.

$$x=123-\frac{123}{50}\times 5^{2}$$

Calculate 5 to the power of 2 and get 25.

$$x=123-\frac{123}{50}\times 25$$

Express -\frac{123}{50}\times 25 as a single fraction.

$$x=123+\frac{-123\times 25}{50}$$

Multiply -123 and 25 to get -3075.

$$x=123+\frac{-3075}{50}$$

Reduce the fraction \frac{-3075}{50} to lowest terms by extracting and canceling out 25.

$$x=123-\frac{123}{2}$$

Convert 123 to fraction \frac{246}{2}.

$$x=\frac{246}{2}-\frac{123}{2}$$

Since \frac{246}{2} and \frac{123}{2} have the same denominator, subtract them by subtracting their numerators.

$$x=\frac{246-123}{2}$$

Subtract 123 from 246 to get 123.

$$x=\frac{123}{2}$$

Assign x

$$x≔61,5$$