10a^2-53a+63=0

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Solution for 10a^2-53a+63=0 equation:


Simplifying
10a2 + -53a + 63 = 0

Reorder the terms:
63 + -53a + 10a2 = 0

Solving
63 + -53a + 10a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(9 + -5a)(7 + -2a) = 0

Subproblem 1

Set the factor '(9 + -5a)' equal to zero and attempt to solve: Simplifying 9 + -5a = 0 Solving 9 + -5a = 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 + -5a = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5a = 0 + -9 -5a = 0 + -9 Combine like terms: 0 + -9 = -9 -5a = -9 Divide each side by '-5'. a = 1.8 Simplifying a = 1.8

Subproblem 2

Set the factor '(7 + -2a)' equal to zero and attempt to solve: Simplifying 7 + -2a = 0 Solving 7 + -2a = 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 + -2a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 0 + -7 -2a = 0 + -7 Combine like terms: 0 + -7 = -7 -2a = -7 Divide each side by '-2'. a = 3.5 Simplifying a = 3.5

Solution

a = {1.8, 3.5}

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