4x^2=-15x+4

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


Simplifying
4x2 = -15x + 4

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

Solving
4x2 = 4 + -15x

Solving for variable 'x'.

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

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

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

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

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

Subproblem 1

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

Subproblem 2

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

Solution

x = {-4, 0.25}

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