20a^2-17a=63

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Solution for 20a^2-17a=63 equation:


Simplifying
20a2 + -17a = 63

Reorder the terms:
-17a + 20a2 = 63

Solving
-17a + 20a2 = 63

Solving for variable 'a'.

Reorder the terms:
-63 + -17a + 20a2 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + -17a + 20a2 = 0

Factor a trinomial.
(-7 + -5a)(9 + -4a) = 0

Subproblem 1

Set the factor '(-7 + -5a)' equal to zero and attempt to solve: Simplifying -7 + -5a = 0 Solving -7 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5a = 0 + 7 -5a = 0 + 7 Combine like terms: 0 + 7 = 7 -5a = 7 Divide each side by '-5'. a = -1.4 Simplifying a = -1.4

Subproblem 2

Set the factor '(9 + -4a)' equal to zero and attempt to solve: Simplifying 9 + -4a = 0 Solving 9 + -4a = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -4a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4a = 0 + -9 -4a = 0 + -9 Combine like terms: 0 + -9 = -9 -4a = -9 Divide each side by '-4'. a = 2.25 Simplifying a = 2.25

Solution

a = {-1.4, 2.25}

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