4x*4x-12x+3=-15

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Solution for 4x*4x-12x+3=-15 equation:


Simplifying
4x * 4x + -12x + 3 = -15

Reorder the terms for easier multiplication:
4 * 4x * x + -12x + 3 = -15

Multiply 4 * 4
16x * x + -12x + 3 = -15

Multiply x * x
16x2 + -12x + 3 = -15

Reorder the terms:
3 + -12x + 16x2 = -15

Solving
3 + -12x + 16x2 = -15

Solving for variable 'x'.

Reorder the terms:
3 + 15 + -12x + 16x2 = -15 + 15

Combine like terms: 3 + 15 = 18
18 + -12x + 16x2 = -15 + 15

Combine like terms: -15 + 15 = 0
18 + -12x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -6x + 8x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + -6x + 8x2)' equal to zero and attempt to solve: Simplifying 9 + -6x + 8x2 = 0 Solving 9 + -6x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.125 + -0.75x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + -0.75x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + -0.75x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + -0.75x + x2 = 0 + -1.125 -0.75x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 -0.75x + x2 = -1.125 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -1.125 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -1.125 + 0.140625 Combine like terms: -1.125 + 0.140625 = -0.984375 0.140625 + -0.75x + x2 = -0.984375 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -0.984375 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. The solution to this equation could not be determined.

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