(25x^2)+81=90*x

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Solution for (25x^2)+81=90*x equation:


Simplifying
(25x2) + 81 = 90x

Reorder the terms:
81 + (25x2) = 90x

Solving
81 + (25x2) = 90x

Solving for variable 'x'.

Reorder the terms:
81 + -90x + (25x2) = 90x + -90x

Combine like terms: 90x + -90x = 0
81 + -90x + (25x2) = 0

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

Subproblem 1

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

Subproblem 2

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

Solution

x = {1.8, 1.8}

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