4x^2-29x+42=-2x+7

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Solution for 4x^2-29x+42=-2x+7 equation:


Simplifying
4x2 + -29x + 42 = -2x + 7

Reorder the terms:
42 + -29x + 4x2 = -2x + 7

Reorder the terms:
42 + -29x + 4x2 = 7 + -2x

Solving
42 + -29x + 4x2 = 7 + -2x

Solving for variable 'x'.

Reorder the terms:
42 + -7 + -29x + 2x + 4x2 = 7 + -2x + -7 + 2x

Combine like terms: 42 + -7 = 35
35 + -29x + 2x + 4x2 = 7 + -2x + -7 + 2x

Combine like terms: -29x + 2x = -27x
35 + -27x + 4x2 = 7 + -2x + -7 + 2x

Reorder the terms:
35 + -27x + 4x2 = 7 + -7 + -2x + 2x

Combine like terms: 7 + -7 = 0
35 + -27x + 4x2 = 0 + -2x + 2x
35 + -27x + 4x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
35 + -27x + 4x2 = 0

Factor a trinomial.
(7 + -4x)(5 + -1x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {1.75, 5}

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