0=4x^2+15x-4

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Solution for 0=4x^2+15x-4 equation:


Simplifying
0 = 4x2 + 15x + -4

Reorder the terms:
0 = -4 + 15x + 4x2

Solving
0 = -4 + 15x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + 4 = 4
4 + -15x + -4x2 = -4 + 15x + 4x2 + 4 + -15x + -4x2

Reorder the terms:
4 + -15x + -4x2 = -4 + 4 + 15x + -15x + 4x2 + -4x2

Combine like terms: -4 + 4 = 0
4 + -15x + -4x2 = 0 + 15x + -15x + 4x2 + -4x2
4 + -15x + -4x2 = 15x + -15x + 4x2 + -4x2

Combine like terms: 15x + -15x = 0
4 + -15x + -4x2 = 0 + 4x2 + -4x2
4 + -15x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4 + -15x + -4x2 = 0

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

Subproblem 1

Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25

Subproblem 2

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

Solution

x = {0.25, -4}

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