x(4x-9)=13

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Solution for x(4x-9)=13 equation:


Simplifying
x(4x + -9) = 13

Reorder the terms:
x(-9 + 4x) = 13
(-9 * x + 4x * x) = 13
(-9x + 4x2) = 13

Solving
-9x + 4x2 = 13

Solving for variable 'x'.

Reorder the terms:
-13 + -9x + 4x2 = 13 + -13

Combine like terms: 13 + -13 = 0
-13 + -9x + 4x2 = 0

Factor a trinomial.
(-1 + -1x)(13 + -4x) = 0

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 2

Set the factor '(13 + -4x)' equal to zero and attempt to solve: Simplifying 13 + -4x = 0 Solving 13 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4x = 0 + -13 -4x = 0 + -13 Combine like terms: 0 + -13 = -13 -4x = -13 Divide each side by '-4'. x = 3.25 Simplifying x = 3.25

Solution

x = {-1, 3.25}

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