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The sum of all solutions to the equation is: x = 2.96 or -2.96
In an algebraic expression, the sum of all solutions to the equation requires making the variable the subject of the formula to determine the value of the variable.
From the given parameters:
4x(x - 3) = 23
Open brackets
4x² - 12x = 23
4x² - 12 - 23 = 0
This is a quadratic equation and by solving using the quadratic formula, we have:
[tex]\mathbf{= (x + \dfrac{\sqrt{35}}{2}) \ or \ (x - \dfrac{\sqrt{35}}{2})}[/tex]
[tex]\mathbf{ (x = - \dfrac{\sqrt{35}}{2}) \ or \ (x = + \dfrac{\sqrt{35}}{2})}[/tex]
x = 2.96 or -2.96
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