4x^2-12x+15=6

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Solution for 4x^2-12x+15=6 equation:


Simplifying
4x2 + -12x + 15 = 6

Reorder the terms:
15 + -12x + 4x2 = 6

Solving
15 + -12x + 4x2 = 6

Solving for variable 'x'.

Reorder the terms:
15 + -6 + -12x + 4x2 = 6 + -6

Combine like terms: 15 + -6 = 9
9 + -12x + 4x2 = 6 + -6

Combine like terms: 6 + -6 = 0
9 + -12x + 4x2 = 0

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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