4x(x-3)+9=0

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Solution for 4x(x-3)+9=0 equation:


Simplifying
4x(x + -3) + 9 = 0

Reorder the terms:
4x(-3 + x) + 9 = 0
(-3 * 4x + x * 4x) + 9 = 0
(-12x + 4x2) + 9 = 0

Reorder the terms:
9 + -12x + 4x2 = 0

Solving
9 + -12x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -2x)(3 + -2x) = 0

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Subproblem 2

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {1.5, 1.5}

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