4x^2+4=x+18

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Solution for 4x^2+4=x+18 equation:


Simplifying
4x2 + 4 = x + 18

Reorder the terms:
4 + 4x2 = x + 18

Reorder the terms:
4 + 4x2 = 18 + x

Solving
4 + 4x2 = 18 + x

Solving for variable 'x'.

Reorder the terms:
4 + -18 + -1x + 4x2 = 18 + x + -18 + -1x

Combine like terms: 4 + -18 = -14
-14 + -1x + 4x2 = 18 + x + -18 + -1x

Reorder the terms:
-14 + -1x + 4x2 = 18 + -18 + x + -1x

Combine like terms: 18 + -18 = 0
-14 + -1x + 4x2 = 0 + x + -1x
-14 + -1x + 4x2 = x + -1x

Combine like terms: x + -1x = 0
-14 + -1x + 4x2 = 0

Factor a trinomial.
(-7 + -4x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -4x)' equal to zero and attempt to solve: Simplifying -7 + -4x = 0 Solving -7 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -4x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -4x = 0 + 7 -4x = 0 + 7 Combine like terms: 0 + 7 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-1.75, 2}

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