64x^2+81=144x

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Solution for 64x^2+81=144x equation:


Simplifying
64x2 + 81 = 144x

Reorder the terms:
81 + 64x2 = 144x

Solving
81 + 64x2 = 144x

Solving for variable 'x'.

Reorder the terms:
81 + -144x + 64x2 = 144x + -144x

Combine like terms: 144x + -144x = 0
81 + -144x + 64x2 = 0

Factor a trinomial.
(9 + -8x)(9 + -8x) = 0

Subproblem 1

Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125

Subproblem 2

Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125

Solution

x = {1.125, 1.125}

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