factorise 20x ^2 - 26x+ 8
Answers
Answer:
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Step-by-step explanation:
Simplifying
20x2 + -26x + 8 = 0
Reorder the terms:
8 + -26x + 20x2 = 0
Solving
8 + -26x + 20x2 = 0
Solving for variable 'x'.
Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -13x + 10x2) = 0
Factor a trinomial.
2((1 + -2x)(4 + -5x)) = 0
Ignore the factor 2.
Set the factor '(1 + -2x)' equal to zero and attempt to solve:
Simplifying
1 + -2x = 0
Solving
1 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1
Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1
Combine like terms: 0 + -1 = -1
-2x = -1
Divide each side by '-2'.
x = 0.5
Simplifying
x = 0.5
Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve:
Simplifying
4 + -5x = 0
Solving
4 + -5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4
Combine like terms: 0 + -4 = -4
-5x = -4
Divide each side by '-5'.
x = 0.8
Simplifying
x = 0.8
Solution
x = {0.5, 0.8}
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