3x^2(4x^2-5x+3)=

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Solution for 3x^2(4x^2-5x+3)= equation:


Simplifying
3x2(4x2 + -5x + 3) = 0

Reorder the terms:
3x2(3 + -5x + 4x2) = 0
(3 * 3x2 + -5x * 3x2 + 4x2 * 3x2) = 0
(9x2 + -15x3 + 12x4) = 0

Solving
9x2 + -15x3 + 12x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x2'.
3x2(3 + -5x + 4x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}

Subproblem 2

Set the factor '(3 + -5x + 4x2)' equal to zero and attempt to solve: Simplifying 3 + -5x + 4x2 = 0 Solving 3 + -5x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.75 + -1.25x + x2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + -1.25x + -0.75 + x2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + -1.25x + x2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -1.25x + x2 = 0 + -0.75 -1.25x + x2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 -1.25x + x2 = -0.75 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -0.75 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -0.75 + 0.390625 Combine like terms: -0.75 + 0.390625 = -0.359375 0.390625 + -1.25x + x2 = -0.359375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -0.359375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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