Solve m=157kN/123m/s^2

$$m = \frac { 157 kN } { 123 m / s ^ { 2 } }$$

Solve for N

$$N=\frac{123\times \left(\frac{m}{s}\right)^{2}}{157k}$$

$$s\neq 0\text{ and }k\neq 0\text{ and }m\neq 0$$

Steps for Solving Linear Equation

Divide 157kN by \frac{123m}{s^{2}} by multiplying 157kN by the reciprocal of \frac{123m}{s^{2}}.

$$m=\frac{157kNs^{2}}{123m}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{157kNs^{2}}{123m}=m$$

Multiply both sides of the equation by 123m.

$$157kNs^{2}=m\times 123m$$

Reorder the terms.

$$157Nks^{2}=123mm$$

Multiply m and m to get m^{2}.

$$157Nks^{2}=123m^{2}$$

The equation is in standard form.

$$157ks^{2}N=123m^{2}$$

Divide both sides by 157ks^{2}.

$$\frac{157ks^{2}N}{157ks^{2}}=\frac{123m^{2}}{157ks^{2}}$$

Dividing by 157ks^{2} undoes the multiplication by 157ks^{2}.

$$N=\frac{123m^{2}}{157ks^{2}}$$

Solve for k

$$k=\frac{123\times \left(\frac{m}{s}\right)^{2}}{157N}$$

$$s\neq 0\text{ and }N\neq 0\text{ and }m\neq 0$$

Steps for Solving Linear Equation

Divide 157kN by \frac{123m}{s^{2}} by multiplying 157kN by the reciprocal of \frac{123m}{s^{2}}.

$$m=\frac{157kNs^{2}}{123m}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{157kNs^{2}}{123m}=m$$

Multiply both sides of the equation by 123m.

$$157kNs^{2}=m\times 123m$$

Reorder the terms.

$$157Nks^{2}=123mm$$

Multiply m and m to get m^{2}.

$$157Nks^{2}=123m^{2}$$

The equation is in standard form.

$$157Ns^{2}k=123m^{2}$$

Divide both sides by 157Ns^{2}.

$$\frac{157Ns^{2}k}{157Ns^{2}}=\frac{123m^{2}}{157Ns^{2}}$$

Dividing by 157Ns^{2} undoes the multiplication by 157Ns^{2}.

$$k=\frac{123m^{2}}{157Ns^{2}}$$