6, 6 are the solutions of the given equation.
What is equation ?
It is a mathematical statement which contains two algebraic expressions on both sides of an ' = ' sign.
Equation shows the equality between the expressions in left hand and right hand side.
What is the solution of given equation ?
The given equation is [tex]6x^{2} -2x+36=5x^{2} +10x[/tex]
Solving the equation, [tex]6x^{2} -5x^{2} -2x-10x+36=0[/tex]
⇒ [tex]x^{2} -12x+36=0[/tex]
⇒ [tex](x-6)^{2} =0[/tex]
∴ The equation have double root, the values of x are 6, 6
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