2x(4x-3)=8x-18

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Solution for 2x(4x-3)=8x-18 equation:


Simplifying
2x(4x + -3) = 8x + -18

Reorder the terms:
2x(-3 + 4x) = 8x + -18
(-3 * 2x + 4x * 2x) = 8x + -18
(-6x + 8x2) = 8x + -18

Reorder the terms:
-6x + 8x2 = -18 + 8x

Solving
-6x + 8x2 = -18 + 8x

Solving for variable 'x'.

Reorder the terms:
18 + -6x + -8x + 8x2 = -18 + 8x + 18 + -8x

Combine like terms: -6x + -8x = -14x
18 + -14x + 8x2 = -18 + 8x + 18 + -8x

Reorder the terms:
18 + -14x + 8x2 = -18 + 18 + 8x + -8x

Combine like terms: -18 + 18 = 0
18 + -14x + 8x2 = 0 + 8x + -8x
18 + -14x + 8x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -14x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -7x + 4x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + -7x + 4x2)' equal to zero and attempt to solve: Simplifying 9 + -7x + 4x2 = 0 Solving 9 + -7x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.25 + -1.75x + x2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + -1.75x + -2.25 + x2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + -1.75x + x2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + -1.75x + x2 = 0 + -2.25 -1.75x + x2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 -1.75x + x2 = -2.25 The x term is -1.75x. Take half its coefficient (-0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. -1.75x + 0.765625 + x2 = -2.25 + 0.765625 Reorder the terms: 0.765625 + -1.75x + x2 = -2.25 + 0.765625 Combine like terms: -2.25 + 0.765625 = -1.484375 0.765625 + -1.75x + x2 = -1.484375 Factor a perfect square on the left side: (x + -0.875)(x + -0.875) = -1.484375 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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