4x^2-21x+18=-8x+8

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Solution for 4x^2-21x+18=-8x+8 equation:


Simplifying
4x2 + -21x + 18 = -8x + 8

Reorder the terms:
18 + -21x + 4x2 = -8x + 8

Reorder the terms:
18 + -21x + 4x2 = 8 + -8x

Solving
18 + -21x + 4x2 = 8 + -8x

Solving for variable 'x'.

Reorder the terms:
18 + -8 + -21x + 8x + 4x2 = 8 + -8x + -8 + 8x

Combine like terms: 18 + -8 = 10
10 + -21x + 8x + 4x2 = 8 + -8x + -8 + 8x

Combine like terms: -21x + 8x = -13x
10 + -13x + 4x2 = 8 + -8x + -8 + 8x

Reorder the terms:
10 + -13x + 4x2 = 8 + -8 + -8x + 8x

Combine like terms: 8 + -8 = 0
10 + -13x + 4x2 = 0 + -8x + 8x
10 + -13x + 4x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
10 + -13x + 4x2 = 0

Factor a trinomial.
(5 + -4x)(2 + -1x) = 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 '(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 = {1.25, 2}

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