9x^2-30x=-25

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Solution for 9x^2-30x=-25 equation:


Simplifying
9x2 + -30x = -25

Reorder the terms:
-30x + 9x2 = -25

Solving
-30x + 9x2 = -25

Solving for variable 'x'.

Reorder the terms:
25 + -30x + 9x2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + -30x + 9x2 = 0

Factor a trinomial.
(5 + -3x)(5 + -3x) = 0

Subproblem 1

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Subproblem 2

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {1.666666667, 1.666666667}

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