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5x2-23x=-26 Two solutions were found : x = 2
x = 13/5 = 2.600
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5x^2-23x-(-26)=0
Step by step solution :Skip Ad
Step 1 :Equation at the end of step 1 : (5x2 - 23x) - -26 = 0
Step 2 :Trying to factor by splitting the middle term
2.1 Factoring 5x2-23x+26
The first term is, 5x2 its coefficient is 5 .
The middle term is, -23x its coefficient is -23 .
The last term, "the constant", is +26
Step-1 : Multiply the coefficient of the first term by the constant 5 • 26 = 130
Step-2 : Find two factors of 130 whose sum equals the coefficient of the middle term, which is -23 .
-130
+
-1
=
-131
-65
+
-2
=
-67
-26
+
-5
=
-31
-13
+
-10
=
-23
That's it
