2x(4x-1)+3=18

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Solution for 2x(4x-1)+3=18 equation:


Simplifying
2x(4x + -1) + 3 = 18

Reorder the terms:
2x(-1 + 4x) + 3 = 18
(-1 * 2x + 4x * 2x) + 3 = 18
(-2x + 8x2) + 3 = 18

Reorder the terms:
3 + -2x + 8x2 = 18

Solving
3 + -2x + 8x2 = 18

Solving for variable 'x'.

Reorder the terms:
3 + -18 + -2x + 8x2 = 18 + -18

Combine like terms: 3 + -18 = -15
-15 + -2x + 8x2 = 18 + -18

Combine like terms: 18 + -18 = 0
-15 + -2x + 8x2 = 0

Factor a trinomial.
(-5 + -4x)(3 + -2x) = 0

Subproblem 1

Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25

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 = {-1.25, 1.5}

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