-(x-3)+4x(x+2)=

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Solution for -(x-3)+4x(x+2)= equation:


Simplifying
-1(x + -3) + 4x(x + 2) = 0

Reorder the terms:
-1(-3 + x) + 4x(x + 2) = 0
(-3 * -1 + x * -1) + 4x(x + 2) = 0
(3 + -1x) + 4x(x + 2) = 0

Reorder the terms:
3 + -1x + 4x(2 + x) = 0
3 + -1x + (2 * 4x + x * 4x) = 0
3 + -1x + (8x + 4x2) = 0

Combine like terms: -1x + 8x = 7x
3 + 7x + 4x2 = 0

Solving
3 + 7x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + x)(3 + 4x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75

Solution

x = {-1, -0.75}

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