4(x^2+2x+1)+7x+10=0

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Solution for 4(x^2+2x+1)+7x+10=0 equation:


Simplifying
4(x2 + 2x + 1) + 7x + 10 = 0

Reorder the terms:
4(1 + 2x + x2) + 7x + 10 = 0
(1 * 4 + 2x * 4 + x2 * 4) + 7x + 10 = 0
(4 + 8x + 4x2) + 7x + 10 = 0

Reorder the terms:
4 + 10 + 8x + 7x + 4x2 = 0

Combine like terms: 4 + 10 = 14
14 + 8x + 7x + 4x2 = 0

Combine like terms: 8x + 7x = 15x
14 + 15x + 4x2 = 0

Solving
14 + 15x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + x)(7 + 4x) = 0

Subproblem 1

Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75

Solution

x = {-2, -1.75}

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