5=(4x^2)-x

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Solution for 5=(4x^2)-x equation:


Simplifying
5 = (4x2) + -1x

Reorder the terms:
5 = -1x + (4x2)

Solving
5 = -1x + (4x2)

Solving for variable 'x'.

Reorder the terms:
5 + x + (-4x2) = -1x + x + (4x2) + (-4x2)

Combine like terms: -1x + x = 0
5 + x + (-4x2) = 0 + (4x2) + (-4x2)
5 + x + (-4x2) = (4x2) + (-4x2)

Combine like terms: (4x2) + (-4x2) = 0
5 + x + (-4x2) = 0

Factor a trinomial.
(5 + -4x)(1 + x) = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {1.25, -1}

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